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--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.
)abbrev domain TEX TexFormat
++ Author: Robert S. Sutor
++ Date Created: 1987 through 1992
++ Change History:
++ 05/15/91 RSS Changed matrix formatting to use array environment.
++ 06/27/91 RSS Fixed segments
++ 08/12/91 RSS Removed some grouping for things, added newWithNum and
++ ungroup, improved line splitting
++ 08/15/91 RSS Added mbox support for strings
++ 10/15/91 RSS Handle \%\% at beginning of string
++ 01/22/92 RSS Use \[ and \] instead of $$ and $$. Use
++ %AXIOM STEP NUMBER: instead of \leqno
++ 02/27/92 RSS Escape dollar signs appearing in the input.
++ 03/09/92 RSS Handle explicit blank appearing in the input.
++ 11/28/93 JHD Added code for the VCONCAT and TAG operations.
++ 06/27/95 RSS Change back to $$ and \leqno for Saturn
++ Basic Operations: coerce, convert, display, epilogue,
++ tex, new, prologue, setEpilogue!, setTex!, setPrologue!
++ Related Constructors: TexFormat1
++ Also See:
++ AMS Classifications:
++ Keywords: TeX, LaTeX, output, format
++ References: \TeX{} is a trademark of the American Mathematical Society.
++ Description:
++ \spadtype{TexFormat} provides a coercion from \spadtype{OutputForm} to
++ \TeX{} format. The particular dialect of \TeX{} used is \LaTeX{}.
++ The basic object consists of three parts: a prologue, a
++ tex part and an epilogue. The functions \spadfun{prologue},
++ \spadfun{tex} and \spadfun{epilogue} extract these parts,
++ respectively. The main guts of the expression go into the tex 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 ``\verb+\[+'' and ``\verb+\]+'', respectively, so that
++ the TeX section will be printed in LaTeX display math mode.
TexFormat(): public == private where
E ==> OutputForm
I ==> Integer
L ==> List
S ==> String
US ==> UniversalSegment(Integer)
public == Join(SetCategory,CoercibleFrom E) with
convert: (E,I) -> $
++ convert(o,step) changes o in standard output format to
++ TeX 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.
convert: (E,I,E) -> $
++ convert(o,step,type) changes o in standard output format to
++ TeX format and also adds the given step number and type. 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 TeX formatted code t so that each
++ line has length less than or equal to \spadvar{width}.
display: $ -> Void
++ display(t) outputs the TeX 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 TeX form t.
tex: $ -> L S
++ tex(t) extracts the TeX section of a TeX form t.
new: () -> $
++ new() create a new, empty object. Use \spadfun{setPrologue!},
++ \spadfun{setTex!} and \spadfun{setEpilogue!} to set the various
++ components of this object.
prologue: $ -> L S
++ prologue(t) extracts the prologue section of a TeX form t.
setEpilogue!: ($, L S) -> L S
++ setEpilogue!(t,strings) sets the epilogue section of a TeX form t to strings.
setTex!: ($, L S) -> L S
++ setTex!(t,strings) sets the TeX section of a TeX form t to strings.
setPrologue!: ($, L S) -> L S
++ setPrologue!(t,strings) sets the prologue section of a TeX form t to strings.
private == add
import OutputForm
import Character
import Integer
import List OutputForm
import List String
Rep := Record(prolog : L S, TeX : L S, epilog : L S)
-- local variables declarations and definitions
expr: E
prec,opPrec: I
str: S
blank : S := " \ "
maxPrec : I := 1000000
minPrec : I := 0
unaryOps : L S := ["-","^"]$(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]$(L I)
naryOps : L S := ["-","+","*",blank,",",";"," ","ROW","",
" \cr ","&"," \\ "]$(L S)
naryPrecs : L I := [700,700,800, 800,110,110, 0, 0, 0,
0, 0, 0]$(L I)
naryNGOps : L S := ["ROW","&"]$(L S)
plexOps : L S := ["SIGMA","SIGMA2","PI","PI2","INTSIGN","INDEFINTEGRAL"]$(L S)
plexPrecs : L I := [ 700, 800, 700, 800 , 700, 700]$(L I)
specialOps : L S := ["MATRIX","BRACKET","BRACE","CONCATB","VCONCAT", _
"AGGLST","CONCAT","OVERBAR","ROOT","SUB","TAG", _
"SUPERSUB","ZAG","AGGSET","SC","PAREN", _
"SEGMENT","QUOTE","theMap" ]
-- the next two lists provide translations for some strings for
-- which TeX provides special macros.
specialStrings : L S :=
["cos", "cot", "csc", "log", "sec", "sin", "tan",
"cosh", "coth", "csch", "sech", "sinh", "tanh",
"acos","asin","atan","erf","...","$","infinity",
"alpha", "beta", "gamma", "delta", "epsilon",
"zeta", "eta", "theta", "iota", "kappa", "lambda",
"mu", "nu", "xi", "omikron", "pi", "rho", "sigma",
"tau", "upsilon", "phi", "chi", "psi", "omega"
"Alpha", "Beta", "Gamma", "Delta", "Epsilon",
"Zeta", "Eta", "Theta", "Iota", "Kappa", "Lambda",
"Mu", "Nu", "Xi", "Omikron", "Pi", "Rho", "Sigma",
"Tau", "Upsilon", "Phi", "Chi", "Psi", "Omega"]
specialStringsInTeX : L S :=
["\cos","\cot","\csc","\log","\sec","\sin","\tan",
"\cosh","\coth","\csch","\sech","\sinh","\tanh",
"\arccos","\arcsin","\arctan","\erf","\ldots","\$","\infty",
"\alpha", "\beta", "\gamma", "\delta", "\epsilon",
"\zeta", "\eta", "\theta", "\iota", "\kappa", "\lambda",
"\mu", "\nu", "\xi", "\omikron", "\pi", "\rho", "\sigma",
"\tau", "\upsilon", "\phi", "\chi", "\psi", "\omega"
"\Alpha", "\Beta", "\Gamma", "\Delta", "\Epsilon",
"\Zeta", "\Eta", "\Theta", "\Iota", "\Kappa", "\Lambda",
"\Mu", "\Nu", "\Xi", "\Omikron", "\Pi", "\Rho", "\Sigma",
"\Tau", "\Upsilon", "\Phi", "\Chi", "\Psi", "\Omega"]
-- 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
formatTex: (E,I) -> S
newWithNum: I -> $
parenthesize: S -> S
precondition: E -> E
postcondition: S -> S
splitLong: (S,I) -> L S
splitLong1: (S,I) -> L S
stringify: E -> S
ungroup: S -> S
-- public function definitions
new() : $ ==
-- [["\["]$(L S), [""]$(L S), ["\]"]$(L S)]$Rep
[["$$"]$(L S), [""]$(L S), ["$$"]$(L S)]$Rep
newWithNum(stepNum: I) : $ ==
-- num : S := concat("%AXIOM STEP NUMBER: ",string(stepNum)$S)
-- [["\["]$(L S), [""]$(L S), ["\]",num]$(L S)]$Rep
num : S := concat(concat("\leqno(",string(stepNum)$S),")")$S
[["$$"]$(L S), [""]$(L S), [num,"$$"]$(L S)]$Rep
coerce(expr : E): $ ==
f : $ := new()$$
f.TeX := [postcondition
formatTex(precondition expr, minPrec)]$(L S)
f
convert(expr : E, stepNum : I): $ ==
f : $ := newWithNum(stepNum)
f.TeX := [postcondition
formatTex(precondition expr, minPrec)]$(L S)
f
display(f : $, len : I) ==
for s in f.prolog repeat sayTeX$Lisp s
for s in f.TeX repeat
for t in splitLong(s, len) repeat sayTeX$Lisp t
for s in f.epilog repeat sayTeX$Lisp s
display(f : $) ==
display(f, _$LINELENGTH$Lisp pretend I)
prologue(f : $) == f.prolog
tex(f : $) == f.TeX
epilogue(f : $) == f.epilog
setPrologue!(f : $, l : L S) == f.prolog := l
setTex!(f : $, l : L S) == f.TeX := l
setEpilogue!(f : $, l : L S) == f.epilog := l
coerce(f : $): E ==
l : L S := nil
for s in f.prolog repeat l := concat(s,l)
for s in f.TeX repeat
for t in splitLong(s, (_$LINELENGTH$Lisp pretend Integer) - 4) repeat
l := concat(t,l)
for s in f.epilog repeat l := concat(s,l)
(reverse l) :: E
-- local function definitions
ungroup(str: S): S ==
len : I := #str
len < 2 => str
lbrace : Character := char "{"
rbrace : Character := char "}"
-- drop leading and trailing braces
if (str.1 =$Character lbrace) and (str.len =$Character rbrace) then
u : US := segment(2,len-1)$US
str := str.u
str
postcondition(str: S): S ==
str := ungroup str
len : I := #str
plus : Character := char "+"
minus: Character := char "-"
len < 4 => str
for i in 1..(len-1) repeat
if (str.i =$Character plus) and (str.(i+1) =$Character minus)
then setelt(str,i,char " ")$S
str
stringify expr == (object2String$Lisp expr) pretend S
lineConcat( line : S, lines: L S ) : L S ==
length := #line
if positive? length then
-- If the last character is a backslash then split at "\ ".
-- Reinstate the blank.
if (line.length = char "\" ) then line := concat(line, " ")
-- Remark: for some reason, "\%" at the beginning
-- of a line has the "\" erased when printed
if ( line.1 = char "%" ) then line := concat(" \", line)
else if ( line.1 = char "\" ) and length > 1 and ( line.2 = char "%" ) then
line := concat(" ", line)
lines := concat(line,lines)$List(S)
lines
splitLong(str : S, len : I): L S ==
-- this blocks into lines
if len < 20 then len := _$LINELENGTH$Lisp
splitLong1(str, len)
splitLong1(str : S, len : I) ==
-- We first build the list of lines backwards and then we
-- reverse it.
l : List S := nil
s : S := ""
ls : I := 0
lss : I
for ss in split(str,char " ") repeat
-- have the newline macro end a line (even if it means the line
-- is slightly too long)
ss = "\\" =>
l := lineConcat( concat(s,ss), l )
s := ""
ls := 0
lss := #ss
-- place certain tokens on their own lines for clarity
ownLine : Boolean :=
u : US := segment(1,4)$US
(lss > 3) and ("\end" = ss.u) => true
u := segment(1,5)$US
(lss > 4) and ("\left" = ss.u) => true
u := segment(1,6)$US
(lss > 5) and (("\right" = ss.u) or ("\begin" = ss.u)) => true
false
if ownLine or (ls + lss > len) then
if not empty? s then l := lineConcat( s, l )
s := ""
ls := 0
ownLine or lss > len => l := lineConcat( ss, l )
(lss = 1) and (ss.1 = char "\") =>
ls := ls + lss + 2
s := concat(s,concat(ss," ")$S)$S
ls := ls + lss + 1
s := concat(s,concat(ss," ")$S)$S
if positive? ls then l := lineConcat( s, l )
reverse l
group str ==
concat ["{",str,"}"]
addBraces str ==
concat ["\left\{ ",str," \right\}"]
addBrackets str ==
concat ["\left[ ",str," \right]"]
parenthesize str ==
concat ["\left( ",str," \right)"]
precondition expr ==
outputTran$Lisp expr
formatSpecial(op : S, args : L E, prec : I) : S ==
arg : E
prescript : Boolean := false
op = "theMap" => "\mbox{theMap(...)}"
op = "AGGLST" =>
formatNary(",",args,prec)
op = "AGGSET" =>
formatNary(";",args,prec)
op = "TAG" =>
group concat [formatTex(first args,prec),
"\rightarrow",
formatTex(second args,prec)]
op = "VCONCAT" =>
group concat("\begin{array}{c}",
concat(concat([concat(formatTex(u, minPrec),"\\")
for u in args]::L S),
"\end{array}"))
op = "CONCATB" =>
formatNary(" ",args,prec)
op = "CONCAT" =>
formatNary("",args,minPrec)
op = "QUOTE" =>
group concat("{\tt '}",formatTex(first args, minPrec))
op = "BRACKET" =>
group addBrackets ungroup formatTex(first args, minPrec)
op = "BRACE" =>
group addBraces ungroup formatTex(first args, minPrec)
op = "PAREN" =>
group parenthesize ungroup formatTex(first args, minPrec)
op = "OVERBAR" =>
null args => ""
group concat ["\overline ",formatTex(first args, minPrec)]
op = "ROOT" =>
null args => ""
tmp : S := group formatTex(first args, minPrec)
null rest args => group concat ["\sqrt ",tmp]
group concat
["\root ",group formatTex(first rest args, minPrec)," \of ",tmp]
op = "SEGMENT" =>
tmp : S := concat [formatTex(first args, minPrec),".."]
group
null rest args => tmp
concat [tmp,formatTex(first rest args, minPrec)]
op = "SUB" =>
group concat [formatTex(first args, minPrec)," \sb ",
formatSpecial("AGGLST",rest args,minPrec)]
op = "SUPERSUB" =>
-- variable name
form : List S := [formatTex(first args, minPrec)]
-- subscripts
args := rest args
null args => concat(form)$S
tmp : S := formatTex(first args, minPrec)
if (tmp ~= "") and (tmp ~= "{}") and (tmp ~= " ") then
form := append(form,[" \sb ",group tmp])$(List S)
-- superscripts
args := rest args
null args => group concat(form)$S
tmp : S := formatTex(first args, minPrec)
if (tmp ~= "") and (tmp ~= "{}") and (tmp ~= " ") then
form := append(form,[" \sp ",group tmp])$(List S)
-- presuperscripts
args := rest args
null args => group concat(form)$S
tmp : S := formatTex(first args, minPrec)
if (tmp ~= "") and (tmp ~= "{}") and (tmp ~= " ") then
form := append([" \sp ",group tmp],form)$(List S)
prescript := true
-- presubscripts
args := rest args
null args =>
group concat
prescript => cons("{}",form)
form
tmp : S := formatTex(first args, minPrec)
if (tmp ~= "") and (tmp ~= "{}") and (tmp ~= " ") then
form := append([" \sb ",group tmp],form)$(List S)
prescript := true
group concat
prescript => cons("{}",form)
form
op = "SC" =>
-- need to handle indentation someday
null args => ""
tmp := formatNaryNoGroup(" \\ ", args, minPrec)
group concat ["\begin{array}{l} ",tmp," \end{array} "]
op = "MATRIX" => formatMatrix rest args
op = "ZAG" =>
concat [" \zag{",formatTex(first args, minPrec),"}{",
formatTex(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 Tex 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 = "SIGMA2" => "\sum"
op = "PI" => "\prod"
op = "PI2" => "\prod"
op = "INTSIGN" => "\int"
op = "INDEFINTEGRAL" => "\int"
"????"
hold := formatTex(first args,minPrec)
args := rest args
if op ~= "INDEFINTEGRAL" then
if hold ~= "" then
s := concat [s," \sb",group concat ["\displaystyle ",hold]]
if not null rest args then
hold := formatTex(first args,minPrec)
if hold ~= "" then
s := concat [s," \sp",group concat ["\displaystyle ",hold]]
args := rest args
s := concat [s," ",formatTex(first args,minPrec)]
else
hold := group concat [hold," ",formatTex(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 ...]]
-- generate string for formatting columns (centered)
cols : S := "{"
for i in 2..#(first(args) pretend L E) repeat
cols := concat(cols,"c")
cols := concat(cols,"} ")
group addBrackets concat
["\begin{array}",cols,formatNaryNoGroup(" \\ ",args,minPrec),
" \end{array} "]
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 Tex unary op"
opPrec := unaryPrecs.p
s : S := concat [op,formatTex(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 Tex binary op"
op :=
op = "|" => " \mid "
op = "**" => " \sp "
op = "/" => " \over "
op = "OVER" => " \over "
op = "+->" => " \mapsto "
op
opPrec := binaryPrecs.p
s : S := formatTex(first args, opPrec)
s := concat [s,op,formatTex(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 Tex nary op"
op :=
op = "," => ", \: "
op = ";" => "; \: "
op = "*" => blank
op = " " => " \ "
op = "ROW" => " & "
op
l : L S := nil
opPrec := naryPrecs.p
for a in args repeat
l := concat(op,concat(formatTex(a,opPrec),l)$L(S))$L(S)
s : S := concat reverse rest l
opPrec < prec => parenthesize s
s
formatTex(expr,prec) ==
i,len : Integer
intSplitLen : Integer := 20
not %pair?(expr)$Foreign(Builtin) pretend Boolean =>
str := stringify expr
len := #str
%integer?(expr)$Foreign(Builtin) =>
i := expr pretend Integer
if negative? i or (i > 9)
then
group
nstr : String := ""
-- insert some blanks into the string, if too long
while ((len := #str) > intSplitLen) repeat
nstr := concat [nstr," ",
elt(str,segment(1,intSplitLen)$US)]
str := elt(str,segment(intSplitLen+1)$US)
empty? nstr => str
nstr :=
empty? str => nstr
concat [nstr," ",str]
elt(nstr,segment(2)$US)
else str
str = "%pi" => "\pi"
str = "%e" => "e"
str = "%i" => "i"
len > 1 and str.1 = char "%" and str.2 = char "%" =>
u : US := segment(3,len)$US
concat(" \%\%",str.u)
positive? len and str.1 = char "%" => concat(" \",str)
len > 1 and digit? str.1 => group str -- should handle floats
positive? len and str.1 = char "_"" =>
concat(concat(" \mbox{\tt ",str),"} ")
len = 1 and str.1 = char " " => "{\ }"
positive?(i := position(str,specialStrings)) =>
specialStringsInTeX.i
positive?(i := position(char " ",str)) =>
-- We want to preserve spacing, so use a roman font.
concat(concat(" \mbox{\rm ",str),"} ")
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 := formatTex(first l,minPrec)
formatFunction(op,args,prec)
)abbrev package TEX1 TexFormat1
++ Author: Robert S. Sutor
++ Date Created: 1987 through 1990
++ Change History:
++ Basic Operations: coerce
++ Related Constructors: TexFormat
++ Also See:
++ AMS Classifications:
++ Keywords: TeX, output, format
++ References: \TeX{} is a trademark of the American Mathematical
++ Society.
++ Description:
++ \spadtype{TexFormat1} provides a utility coercion for changing
++ to TeX format anything that has a coercion to the standard output
++ format.
TexFormat1(S : SetCategory): public == private where
public == with
coerce: S -> TexFormat()
++ coerce(s) provides a direct coercion from a domain S to
++ TeX format. This allows the user to skip the step of first
++ manually coercing the object to standard output format before
++ it is coerced to TeX format.
private == add
import TexFormat()
coerce(s : S): TexFormat ==
coerce(s :: OutputForm)$TexFormat
|