In an email with subject:
Axiom: Printing multiple variables in axiom.
to axiom-math on Nov 11, 2007 3:10 PM Constantine Frangos reported that:
I am getting the result below for y.
However, the output I actually want is:
"cos(x2) + 2*x1"
or even better:
cos(x2) + 2*x1
Is this possible ?
fricas
y := cos(x2) + 2*x1
Type: Expression(Integer)
fricas
unparse(y::INFORM)
Type: String
I think the problem originats in the routine form2String1
which
is called via form2String
from unparse
. form2String1
calls
fortexp0
defined in newfort.boot
. This routine calls
expression2Fortran
which transforms the InputForm via:
fortranCleanUp exp2Fort1 segment fortPre exp2FortOptimize outputTran e
fortPre
is responsible for renaming functions like cos
to DCOS
for Fortran double or single float compatibility in a routine called
mkFortFn
. segment
is intended to handle lines longer than allowed
in Fortran, and outputTran
renames some operations to be subsequently
remapped by fortPre
to the appropriate operator depending on the
precision setting. None of this is necessary if the intention is to
"unparse" an Axiom expression.
The patch to format.boot
below avoids this problem.
boot
form2String1 u ==
ATOM u =>
u=$EmptyMode or u=$quadSymbol => formWrapId specialChar 'quad
IDENTP u =>
constructor? u => app2StringWrap(formWrapId u, [u])
u
SUBRP u => formWrapId BPINAME u
STRINGP u => formWrapId u
WRITE_-TO_-STRING formWrapId u
u1 := u
op := CAR u
argl := CDR u
op='Join or op= 'mkCategory => formJoin1(op,argl)
$InteractiveMode and (u:= constructor? op) =>
null argl => app2StringWrap(formWrapId constructorName op, u1)
op = "NTuple" => [ form2String1 first argl, "*"]
op = "Map" => ["(",:formatSignature0 [argl.1,argl.0],")"]
op = 'Record => record2String(argl)
null (conSig := getConstructorSignature op) =>
application2String(constructorName op,[form2String1(a) for a in argl], u1)
ml := rest conSig
if not freeOfSharpVars ml then
ml:=SUBLIS([[pvar,:val] for pvar in $FormalMapVariableList
for val in argl], ml)
argl:= formArguments2String(argl,ml)
-- extra null check to handle mutable domain hack.
null argl => constructorName op
application2String(constructorName op,argl, u1)
op = "Mapping" => ["(",:formatSignature argl,")"]
op = "Record" => record2String(argl)
op = 'Union =>
application2String(op,[form2String1 x for x in argl], u1)
op = ":" =>
null argl => [ '":" ]
null rest argl => [ '":", form2String1 first argl ]
formDecl2String(argl.0,argl.1)
op = "#" and PAIRP argl and LISTP CAR argl =>
STRINGIMAGE SIZE CAR argl
op = 'Join => formJoin2String argl
op = "ATTRIBUTE" => form2String1 first argl
op='Zero => 0
op='One => 1
op = 'AGGLST => tuple2String argl
op = 'BRACKET =>
argl' := form2String1 first argl
["[",:(atom argl' => [argl']; argl'),"]"]
op = "SIGNATURE" =>
[operation,sig] := argl
concat(operation,": ",formatSignature sig)
op = 'COLLECT => formCollect2String argl
op = 'construct =>
concat(lbrkSch(),
tuple2String [form2String1 x for x in argl],rbrkSch())
op = "SEGMENT" =>
null argl => '".."
lo := form2String1 first argl
argl := rest argl
(null argl) or null (first argl) => [lo, '".."]
[lo, '"..", form2String1 first argl]
--isBinaryInfix op => fortexp0 [op,:argl]
fortranCleanUp exp2Fort1 exp2FortOptimize [op,:argl]
-- COMPILED_-FUNCTION_-P(op) => form2String1 coerceMap2E(u1,NIL)
--application2String(op,[form2String1 x for x in argl], u1)
boot
>> System error:
invalid number of arguments: 1
; compiling file "/var/aw/var/LatexWiki/904736018644071145-25px002.clisp" (written 17 MAR 2011 10:05:58 AM):
; /var/aw/var/LatexWiki/904736018644071145-25px002.fasl written
; compilation finished in 0:00:00.020
Value = T
The function:
parse(s)==interpret(ncParseFromString(s)$Lisp::INFORM)
parses abd evaluates a string s
, returning the result as ANY.
We can use this to test that unparse
fricas
parse(s)==interpret(ncParseFromString(s)$Lisp::INFORM)
>> System error:
The function BOOT::BOOT-EQUAL is undefined.
The display of function names in legends generated by
Axiom graphics also suffers from Fortranish names like
DSIN etc. The patch to
format.boot
above also fixes
that.
Status: open => fix proposed
The patch to format.boot
below avoids this problem.
On Tue, Sep 2, 2008 at 6:34 PM, Waldek Hebisch wrote:
So I propose to apply a variation of Bill's patch. Compared
to Bill I am using Fortran machinery only for binary operators
(like current code). Also, I am setting a few variables used
by Fortran machinery - I do not have a testcase, but I
expect that on complicated expressions Fortran machinery
will fail if those variables have no value.
Patch:
diff -ru --exclude=.svn trunk.bb/src/interp/format.boot trunk/src/interp/format.boot
--- trunk.bb/src/interp/format.boot 2008-09-03 00:06:07.000000000 +0200
+++ trunk/src/interp/format.boot 2008-09-03 00:07:38.000000000 +0200
@@ -428,10 +428,15 @@
argl := rest argl
(null argl) or null (first argl) => [lo, '".."]
[lo, '"..", form2String1 first argl]
- isBinaryInfix op => fortexp0 [op,:argl]
- -- COMPILED_-FUNCTION_-P(op) => form2String1 coerceMap2E(u1,NIL)
+ isBinaryInfix op => binop2String [op,:argl]
application2String(op,[form2String1 x for x in argl], u1)
+binop2String x ==
+ $exp2FortTempVarIndex : local := 0
+ $fortName : fluid := newFortranTempVar()
+ $fortInts2Floats : fluid := nil
+ fortranCleanUp exp2Fort1 exp2FortOptimize x
+
formWrapId id ==
$formatSigAsTeX = 1 => id
$formatSigAsTeX = 2 =>
----
boot
form2String1 u ==
ATOM u =>
u=$EmptyMode or u=$quadSymbol => formWrapId specialChar 'quad
IDENTP u =>
constructor? u => app2StringWrap(formWrapId u, [u])
u
SUBRP u => formWrapId BPINAME u
STRINGP u => formWrapId u
WRITE_-TO_-STRING formWrapId u
u1 := u
op := CAR u
argl := CDR u
op='Join or op= 'mkCategory => formJoin1(op,argl)
$InteractiveMode and (u:= constructor? op) =>
null argl => app2StringWrap(formWrapId constructorName op, u1)
op = "NTuple" => [ form2String1 first argl, "*"]
op = "Map" => ["(",:formatSignature0 [argl.1,argl.0],")"]
op = 'Record => record2String(argl)
null (conSig := getConstructorSignature op) =>
application2String(constructorName op,[form2String1(a) for a in argl], u1)
ml := rest conSig
if not freeOfSharpVars ml then
ml:=SUBLIS([[pvar,:val] for pvar in $FormalMapVariableList
for val in argl], ml)
argl:= formArguments2String(argl,ml)
-- extra null check to handle mutable domain hack.
null argl => constructorName op
application2String(constructorName op,argl, u1)
op = "Mapping" => ["(",:formatSignature argl,")"]
op = "Record" => record2String(argl)
op = 'Union =>
application2String(op,[form2String1 x for x in argl], u1)
op = ":" =>
null argl => [ '":" ]
null rest argl => [ '":", form2String1 first argl ]
formDecl2String(argl.0,argl.1)
op = "#" and PAIRP argl and LISTP CAR argl =>
STRINGIMAGE SIZE CAR argl
op = 'Join => formJoin2String argl
op = "ATTRIBUTE" => form2String1 first argl
op='Zero => 0
op='One => 1
op = 'AGGLST => tuple2String argl
op = 'BRACKET =>
argl' := form2String1 first argl
["[",:(atom argl' => [argl']; argl'),"]"]
op = "SIGNATURE" =>
[operation,sig] := argl
concat(operation,": ",formatSignature sig)
op = 'COLLECT => formCollect2String argl
op = 'construct =>
concat(lbrkSch(),
tuple2String [form2String1 x for x in argl],rbrkSch())
op = "SEGMENT" =>
null argl => '".."
lo := form2String1 first argl
argl := rest argl
(null argl) or null (first argl) => [lo, '".."]
[lo, '"..", form2String1 first argl]
isBinaryInfix op => binop2String [op,:argl]
application2String(op,[form2String1 x for x in argl], u1)
binop2String x ==
$exp2FortTempVarIndex : local := 0
$fortName : fluid := newFortranTempVar()
$fortInts2Floats : fluid := nil
fortranCleanUp exp2Fort1 exp2FortOptimize x
boot
>> System error:
invalid number of arguments: 1
; compiling file "/var/aw/var/LatexWiki/6774118422206085966-25px004.clisp" (written 17 MAR 2011 10:05:59 AM):
; /var/aw/var/LatexWiki/6774118422206085966-25px004.fasl written
; compilation finished in 0:00:00.019
Value = T
Let's try it ...
fricas
y := cos(x2) + 2*x1
fricas
>> System error:
The function BOOT::BOOT-EQUAL is undefined.
Did I do something wrong in applying the patch?
SandBoxUnparse