aboutsummaryrefslogtreecommitdiff
path: root/src/algebra/formula.spad.pamphlet
diff options
context:
space:
mode:
authordos-reis <gdr@axiomatics.org>2011-07-04 16:40:44 +0000
committerdos-reis <gdr@axiomatics.org>2011-07-04 16:40:44 +0000
commit1a18d7b2e1b3796f6dc360e3bae0a57616aa497c (patch)
tree48b98145ec77b1a52b3eb1add288191767fa8a4b /src/algebra/formula.spad.pamphlet
parent2f5255f62b85b026dcf11adafff07ac2f254a41c (diff)
downloadopen-axiom-1a18d7b2e1b3796f6dc360e3bae0a57616aa497c.tar.gz
* interp/setvars.boot: Remove support for script formula.
* interp/setvart.boot: Likewise. * interp/diagnostics.boot (sayBrightlyNT1): Move from macros.lisp. (sayBrightly1): Likewise. (sayBrightlyNT): Likewise. (sayBrightly): Likewise. (sayBrightlyI): Likewise. (sayMSG): Likewise. (sayTeX): Likewise. (sayMSG2File): Likewise. * interp/i-output.boot (formulaFormat): Remove. (output): Adjust. * interp/macros.lisp (sayMSGNT): Remove. (sayFORTRAN): Likewise. (sayFORMULA): Likewise. ($formulaOutputstream): Likewise. * interp/sys-globals.boot ($formulaOutputstream): Remove. * interp/spad.lisp ($formulaFormat): Remove. * algebra/exposed.lsp.pamphlet: Do not expose ScriptFormulaFormat and ScriptFormulaFormat1. * algebra/exposed.lsp.pamphlet: Remove.
Diffstat (limited to 'src/algebra/formula.spad.pamphlet')
-rw-r--r--src/algebra/formula.spad.pamphlet515
1 files changed, 0 insertions, 515 deletions
diff --git a/src/algebra/formula.spad.pamphlet b/src/algebra/formula.spad.pamphlet
deleted file mode 100644
index 750bf710..00000000
--- a/src/algebra/formula.spad.pamphlet
+++ /dev/null
@@ -1,515 +0,0 @@
-\documentclass{article}
-\usepackage{open-axiom}
-\begin{document}
-\title{\$SPAD/src/algebra formula.spad}
-\author{Robert S. Sutor}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{domain FORMULA ScriptFormulaFormat}
-<<domain FORMULA ScriptFormulaFormat>>=
-)abbrev domain FORMULA ScriptFormulaFormat
-++ Author: Robert S. Sutor
-++ Date Created: 1987 through 1990
-++ Change History:
-++ Basic Operations: coerce, convert, display, epilogue,
-++ formula, new, prologue, setEpilogue!, setFormula!, setPrologue!
-++ Related Constructors: ScriptFormulaFormat1
-++ Also See: TexFormat
-++ AMS Classifications:
-++ Keywords: output, format, SCRIPT, BookMaster, formula
-++ References:
-++ SCRIPT Mathematical Formula Formatter User's Guide, SH20-6453,
-++ IBM Corporation, Publishing Systems Information Development,
-++ Dept. G68, P.O. Box 1900, Boulder, Colorado, USA 80301-9191.
-++ Description:
-++ \spadtype{ScriptFormulaFormat} provides a coercion from
-++ \spadtype{OutputForm} to IBM SCRIPT/VS Mathematical Formula Format.
-++ The basic SCRIPT formula format object consists of three parts: a
-++ prologue, a formula part and an epilogue. The functions
-++ \spadfun{prologue}, \spadfun{formula} and \spadfun{epilogue}
-++ extract these parts, respectively. The central parts of the expression
-++ go into the formula part. The other parts can be set
-++ (\spadfun{setPrologue!}, \spadfun{setEpilogue!}) so that contain the
-++ appropriate tags for printing. For example, the prologue and
-++ epilogue might simply contain ":df." and ":edf." so that the
-++ formula section will be printed in display math mode.
-
-ScriptFormulaFormat(): public == private where
- E ==> OutputForm
- I ==> Integer
- L ==> List
- S ==> String
-
- public == Join(SetCategory, CoercibleFrom E) with
- convert: (E,I) -> %
- ++ convert(o,step) changes o in standard output format to
- ++ SCRIPT formula format and also adds the given step number.
- ++ This is useful if you want to create equations with given numbers
- ++ or have the equation numbers correspond to the interpreter step
- ++ numbers.
- display: (%, I) -> Void
- ++ display(t,width) outputs the formatted code t so that each
- ++ line has length less than or equal to \spadvar{width}.
- display: % -> Void
- ++ display(t) outputs the formatted code t so that each
- ++ line has length less than or equal to the value set by
- ++ the system command \spadsyscom{set output length}.
- epilogue: % -> L S
- ++ epilogue(t) extracts the epilogue section of a formatted object t.
- formula: % -> L S
- ++ formula(t) extracts the formula section of a formatted object t.
- new: () -> %
- ++ new() create a new, empty object. Use \spadfun{setPrologue!},
- ++ \spadfun{setFormula!} and \spadfun{setEpilogue!} to set the
- ++ various components of this object.
- prologue: % -> L S
- ++ prologue(t) extracts the prologue section of a formatted object t.
- setEpilogue!: (%, L S) -> L S
- ++ setEpilogue!(t,strings) sets the epilogue section of a
- ++ formatted object t to strings.
- setFormula!: (%, L S) -> L S
- ++ setFormula!(t,strings) sets the formula section of a
- ++ formatted object t to strings.
- setPrologue!: (%, L S) -> L S
- ++ setPrologue!(t,strings) sets the prologue section of a
- ++ formatted object t to strings.
-
- private == add
- import OutputForm
- import Character
- import Integer
- import List OutputForm
- import List String
-
- Rep := Record(prolog : L S, formula : L S, epilog : L S)
-
- -- local variables declarations and definitions
-
- expr: E
- prec,opPrec: I
- str: S
- blank : S := " @@ "
-
- maxPrec : I := 1000000
- minPrec : I := 0
-
- splitChars : S := " <>[](){}+*=,-%"
-
- unaryOps : L S := ["-","^"]$(L S)
- unaryPrecs : L I := [700,260]$(L I)
-
- -- the precedence of / in the following is relatively low because
- -- the bar obviates the need for parentheses.
- binaryOps : L S := ["+->","|","**","/","<",">","=","OVER"]$(L S)
- binaryPrecs : L I := [0,0,900, 700,400,400,400, 700]$(L I)
-
- naryOps : L S := ["-","+","*",blank,",",";"," ","ROW","",
- " habove "," here "," labove "]$(L S)
- naryPrecs : L I := [700,700,800, 800,110,110, 0, 0, 0,
- 0, 0, 0]$(L I)
--- naryNGOps : L S := ["ROW"," here "]$(L S)
- naryNGOps : L S := nil$(L S)
-
- plexOps : L S := ["SIGMA","PI","INTSIGN","INDEFINTEGRAL"]$(L S)
- plexPrecs : L I := [ 700, 800, 700, 700]$(L I)
-
- specialOps : L S := ["MATRIX","BRACKET","BRACE","CONCATB", _
- "AGGLST","CONCAT","OVERBAR","ROOT","SUB", _
- "SUPERSUB","ZAG","AGGSET","SC","PAREN"]
-
- -- the next two lists provide translations for some strings for
- -- which the formula formatter provides special variables.
-
- specialStrings : L S :=
- ["5","..."]
- specialStringsInFormula : L S :=
- [" alpha "," ellipsis "]
-
- -- local function signatures
-
- addBraces: S -> S
- addBrackets: S -> S
- group: S -> S
- formatBinary: (S,L E, I) -> S
- formatFunction: (S,L E, I) -> S
- formatMatrix: L E -> S
- formatNary: (S,L E, I) -> S
- formatNaryNoGroup: (S,L E, I) -> S
- formatNullary: S -> S
- formatPlex: (S,L E, I) -> S
- formatSpecial: (S,L E, I) -> S
- formatUnary: (S, E, I) -> S
- formatFormula: (E,I) -> S
- parenthesize: S -> S
- precondition: E -> E
- postcondition: S -> S
- splitLong: (S,I) -> L S
- splitLong1: (S,I) -> L S
- stringify: E -> S
-
- -- public function definitions
-
- new() : % == [[".eq set blank @",":df."]$(L S),
- [""]$(L S), [":edf."]$(L S)]$Rep
-
- coerce(expr : E): % ==
- f : % := new()$%
- f.formula := [postcondition
- formatFormula(precondition expr, minPrec)]$(L S)
- f
-
- convert(expr : E, stepNum : I): % ==
- f : % := new()$%
- f.formula := concat(["<leqno lparen ",string(stepNum)$S,
- " rparen>"], [postcondition
- formatFormula(precondition expr, minPrec)]$(L S))
- f
-
- display(f : %, len : I) ==
- s,t : S
- for s in f.prolog repeat sayFORMULA(s)$Lisp
- for s in f.formula repeat
- for t in splitLong(s, len) repeat sayFORMULA(t)$Lisp
- for s in f.epilog repeat sayFORMULA(s)$Lisp
-
- display(f : %) ==
- display(f, _$LINELENGTH$Lisp pretend I)
-
- prologue(f : %) == f.prolog
- formula(f : %) == f.formula
- epilogue(f : %) == f.epilog
-
- setPrologue!(f : %, l : L S) == f.prolog := l
- setFormula!(f : %, l : L S) == f.formula := l
- setEpilogue!(f : %, l : L S) == f.epilog := l
-
- coerce(f : %): E ==
- s,t : S
- l : L S := nil
- for s in f.prolog repeat l := concat(s,l)
- for s in f.formula repeat
- for t in splitLong(s, (_$LINELENGTH$Lisp pretend Integer) - 4) repeat
- l := concat(t,l)
- for s in f.epilog repeat l := concat(s,l)
- (reverse l) :: E
-
- -- local function definitions
-
- postcondition(str: S): S ==
- len : I := #str
- len < 4 => str
- plus : Character := char "+"
- minus: Character := char "-"
- for i in 1..(len-1) repeat
- if (str.i =$Character plus) and (str.(i+1) =$Character minus)
- then setelt(str,i,char " ")$S
- str
-
- stringify expr == object2String(expr)$Lisp pretend S
-
- splitLong(str : S, len : I): L S ==
- -- this blocks into lines
- if len < 20 then len := _$LINELENGTH$Lisp
- splitLong1(str, len)
-
- splitLong1(str : S, len : I) ==
- l : List S := nil
- s : S := ""
- ls : I := 0
- ss : S
- lss : I
- for ss in split(str,char " ") repeat
- lss := #ss
- if ls + lss > len then
- l := concat(s,l)$List(S)
- s := ""
- ls := 0
- lss > len => l := concat(ss,l)$List(S)
- ls := ls + lss + 1
- s := concat(s,concat(ss," ")$S)$S
- if positive? ls then l := concat(s,l)$List(S)
- reverse l
-
- group str ==
- concat ["<",str,">"]
-
- addBraces str ==
- concat ["left lbrace ",str," right rbrace"]
-
- addBrackets str ==
- concat ["left lb ",str," right rb"]
-
- parenthesize str ==
- concat ["left lparen ",str," right rparen"]
-
- precondition expr ==
- outputTran(expr)$Lisp
-
- formatSpecial(op : S, args : L E, prec : I) : S ==
- op = "AGGLST" =>
- formatNary(",",args,prec)
- op = "AGGSET" =>
- formatNary(";",args,prec)
- op = "CONCATB" =>
- formatNary(" ",args,prec)
- op = "CONCAT" =>
- formatNary("",args,prec)
- op = "BRACKET" =>
- group addBrackets formatFormula(first args, minPrec)
- op = "BRACE" =>
- group addBraces formatFormula(first args, minPrec)
- op = "PAREN" =>
- group parenthesize formatFormula(first args, minPrec)
- op = "OVERBAR" =>
- null args => ""
- group concat [formatFormula(first args, minPrec)," bar"]
- op = "ROOT" =>
- null args => ""
- tmp : S := formatFormula(first args, minPrec)
- null rest args => group concat ["sqrt ",tmp]
- group concat ["midsup adjust(u 1.5 r 9) ",
- formatFormula(first rest args, minPrec)," sqrt ",tmp]
- op = "SC" =>
- formatNary(" labove ",args,prec)
- op = "SUB" =>
- group concat [formatFormula(first args, minPrec)," sub ",
- formatSpecial("AGGLST",rest args,minPrec)]
- op = "SUPERSUB" =>
- -- variable name
- form : List S := [formatFormula(first args, minPrec)]
- -- subscripts
- args := rest args
- null args => concat form
- tmp : S := formatFormula(first args, minPrec)
- if tmp ~= "" then form := append(form,[" sub ",tmp])$(List S)
- -- superscripts
- args := rest args
- null args => group concat form
- tmp : S := formatFormula(first args, minPrec)
- if tmp ~= "" then form := append(form,[" sup ",tmp])$(List S)
- -- presuperscripts
- args := rest args
- null args => group concat form
- tmp : S := formatFormula(first args, minPrec)
- if tmp ~= "" then form := append(form,[" presup ",tmp])$(List S)
- -- presubscripts
- args := rest args
- null args => group concat form
- tmp : S := formatFormula(first args, minPrec)
- if tmp ~= "" then form := append(form,[" presub ",tmp])$(List S)
- group concat form
- op = "MATRIX" => formatMatrix rest args
--- op = "ZAG" =>
--- concat ["\zag{",formatFormula(first args, minPrec),"}{",
--- formatFormula(first rest args,minPrec),"}"]
- concat ["not done yet for ",op]
-
- formatPlex(op : S, args : L E, prec : I) : S ==
- hold : S
- p : I := position(op,plexOps)
- p < 1 => error "unknown Script Formula Formatter unary op"
- opPrec := plexPrecs.p
- n : I := #args
- (n ~= 2) and (n ~= 3) => error "wrong number of arguments for plex"
- s : S :=
- op = "SIGMA" => "sum"
- op = "PI" => "product"
- op = "INTSIGN" => "integral"
- op = "INDEFINTEGRAL" => "integral"
- "????"
- hold := formatFormula(first args,minPrec)
- args := rest args
- if op ~= "INDEFINTEGRAL" then
- if hold ~= "" then
- s := concat [s," from",group concat ["\displaystyle ",hold]]
- if not null rest args then
- hold := formatFormula(first args,minPrec)
- if hold ~= "" then
- s := concat [s," to",group concat ["\displaystyle ",hold]]
- args := rest args
- s := concat [s," ",formatFormula(first args,minPrec)]
- else
- hold := group concat [hold," ",formatFormula(first args,minPrec)]
- s := concat [s," ",hold]
- if opPrec < prec then s := parenthesize s
- group s
-
- formatMatrix(args : L E) : S ==
- -- format for args is [[ROW ...],[ROW ...],[ROW ...]]
- group addBrackets formatNary(" habove ",args,minPrec)
-
- formatFunction(op : S, args : L E, prec : I) : S ==
- group concat [op, " ", parenthesize formatNary(",",args,minPrec)]
-
- formatNullary(op : S) ==
- op = "NOTHING" => ""
- group concat [op,"()"]
-
- formatUnary(op : S, arg : E, prec : I) ==
- p : I := position(op,unaryOps)
- p < 1 => error "unknown Script Formula Formatter unary op"
- opPrec := unaryPrecs.p
- s : S := concat [op,formatFormula(arg,opPrec)]
- opPrec < prec => group parenthesize s
- op = "-" => s
- group s
-
- formatBinary(op : S, args : L E, prec : I) : S ==
- p : I := position(op,binaryOps)
- p < 1 => error "unknown Script Formula Formatter binary op"
- op :=
- op = "**" => " sup "
- op = "/" => " over "
- op = "OVER" => " over "
- op
- opPrec := binaryPrecs.p
- s : S := formatFormula(first args, opPrec)
- s := concat [s,op,formatFormula(first rest args, opPrec)]
- group
- op = " over " => s
- opPrec < prec => parenthesize s
- s
-
- formatNary(op : S, args : L E, prec : I) : S ==
- group formatNaryNoGroup(op, args, prec)
-
- formatNaryNoGroup(op : S, args : L E, prec : I) : S ==
- null args => ""
- p : I := position(op,naryOps)
- p < 1 => error "unknown Script Formula Formatter nary op"
- op :=
- op = "," => ", @@ "
- op = ";" => "; @@ "
- op = "*" => blank
- op = " " => blank
- op = "ROW" => " here "
- op
- l : L S := nil
- opPrec := naryPrecs.p
- for a in args repeat
- l := concat(op,concat(formatFormula(a,opPrec),l)$L(S))$L(S)
- s : S := concat reverse rest l
- opPrec < prec => parenthesize s
- s
-
- formatFormula(expr,prec) ==
- i : Integer
- not %pair?(expr)$Foreign(Builtin) =>
- str := stringify expr
- %integer?(expr)$Foreign(Builtin) =>
- i := expr : Integer
- if negative? i or (i > 9) then group str else str
- positive?(i := position(str,specialStrings)) =>
- specialStringsInFormula.i
- str
- l : L E := (expr pretend L E)
- null l => blank
- op : S := stringify first l
- args : L E := rest l
- nargs : I := #args
-
- -- special cases
- member?(op, specialOps) => formatSpecial(op,args,prec)
- member?(op, plexOps) => formatPlex(op,args,prec)
-
- -- nullary case
- 0 = nargs => formatNullary op
-
- -- unary case
- (1 = nargs) and member?(op, unaryOps) =>
- formatUnary(op, first args, prec)
-
- -- binary case
- (2 = nargs) and member?(op, binaryOps) =>
- formatBinary(op, args, prec)
-
- -- nary case
- member?(op,naryNGOps) => formatNaryNoGroup(op,args, prec)
- member?(op,naryOps) => formatNary(op,args, prec)
- op := formatFormula(first l,minPrec)
- formatFunction(op,args,prec)
-
-@
-\section{package FORMULA1 ScriptFormulaFormat1}
-<<package FORMULA1 ScriptFormulaFormat1>>=
-)abbrev package FORMULA1 ScriptFormulaFormat1
-++ Author: Robert S. Sutor
-++ Date Created: 1987 through 1990
-++ Change History:
-++ Basic Operations: coerce
-++ Related Constructors: ScriptFormulaFormat
-++ Also See: TexFormat, TexFormat1
-++ AMS Classifications:
-++ Keywords: output, format, SCRIPT, BookMaster, formula
-++ References:
-++ SCRIPT Mathematical Formula Formatter User's Guide, SH20-6453,
-++ IBM Corporation, Publishing Systems Information Development,
-++ Dept. G68, P.O. Box 1900, Boulder, Colorado, USA 80301-9191.
-++ Description:
-++ \spadtype{ScriptFormulaFormat1} provides a utility coercion for
-++ changing to SCRIPT formula format anything that has a coercion to
-++ the standard output format.
-
-ScriptFormulaFormat1(S : SetCategory): public == private where
- public == with
- coerce: S -> ScriptFormulaFormat()
- ++ coerce(s) provides a direct coercion from an expression s of domain S to
- ++ SCRIPT formula format. This allows the user to skip the step of
- ++ first manually coercing the object to standard output format
- ++ before it is coerced to SCRIPT formula format.
-
- private == add
- import ScriptFormulaFormat()
-
- coerce(s : S): ScriptFormulaFormat ==
- coerce(s :: OutputForm)$ScriptFormulaFormat
-
-@
-\section{License}
-<<license>>=
---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.
-@
-<<*>>=
-<<license>>
-
-<<domain FORMULA ScriptFormulaFormat>>
-<<package FORMULA1 ScriptFormulaFormat1>>
-@
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}