MathAction #156 Axiom crashes when compiling simple Taylor code

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  - #210 Pamphlet support on MathAction
    - #156 Axiom crashes when compiling simple Taylor code <-- You are here.
  - #156 Axiom crashes when compiling simple Taylor code <-- You are here.

When trying this code (that is probably buggy on some level), axiom simply crashes on me without any comment. I'm using the Debian (Ubuntu) build of 20050201

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(1) -> u := operator 'u;

Type: BasicOperator?

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multidiff(expr, variable, count) == 
  if count > 0 then
    D(multidiff(expr, variable, count-1), variable)
  else
    expr

Type: Void

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make_taylor(expr) ==
  series( n +-> multidiff(expr, x, n), x=0)

Type: Void

Can't run this one::

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make_taylor(u(x))

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Compiling function multidiff with type (Expression(Integer), 
      Variable(x), Integer) -> Expression(Integer)

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Compiling function make_taylor with type Expression(Integer) -> Any

$\label{eq1}\begin{array}{@{}l} \displaystyle {u \left({x}\right)}+{{{u^{\prime}}\left({x}\right)}\ x}+{{{u^{\prime \prime}}\left({x}\right)}\ {{x}^{2}}}+ \ \ \displaystyle {{{u^{\prime \prime \prime}}\left({x}\right)}\ {{x}^{3}}}+{{{u^{\left(iv \right)}}\left({x}\right)}\ {{x}^{4}}}+{{{u^{\left(v \right)}}\left({x}\right)}\ {{x}^{5}}}+ \ \ \displaystyle {{{u^{\left(vi \right)}}\left({x}\right)}\ {{x}^{6}}}+{{{u^{\left(vii \right)}}\left({x}\right)}\ {{x}^{7}}}+{{{u^{\left(viii \right)}}\left({x}\right)}\ {{x}^{8}}}+{{{u^{\left(ix \right)}}\left({x}\right)}\ {{x}^{9}}}+ \ \ \displaystyle {{{u^{\left(x \right)}}\left({x}\right)}\ {{x}^{10}}}+{O \left({{x}^{11}}\right)}$

(1)

Type: UnivariatePuiseuxSeries?(Expression(Integer),x,0)

In fact, series doesn't work as soon as it is wrapped in a function, no matter whether declared or not. While

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series( (n:INT):EXPR INT +-> a^n, x=0)$GenerateUnivariatePowerSeries(INT, EXPR INT)

$\label{eq2}\begin{array}{@{}l} \displaystyle 1 +{a \ x}+{{{a}^{2}}\ {{x}^{2}}}+{{{a}^{3}}\ {{x}^{3}}}+{{{a}^{4}}\ {{x}^{4}}}+{{{a}^{5}}\ {{x}^{5}}}+{{{a}^{6}}\ {{x}^{6}}}+{{{a}^{7}}\ {{x}^{7}}}+ \ \ \displaystyle {{{a}^{8}}\ {{x}^{8}}}+{{{a}^{9}}\ {{x}^{9}}}+{{{a}^{10}}\ {{x}^{10}}}+{O \left({{x}^{11}}\right)}$

(2)

Type: UnivariatePuiseuxSeries?(Expression(Integer),x,0)

works alright, the following fails::

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make_taylor(x:Symbol):ANY == series( (n:INT):EXPR INT +-> a^n, x=0)$GenerateUnivariatePowerSeries(INT, EXPR INT)

   Function declaration make_taylor : Symbol -> Any has been added to 
      workspace.
   Compiled code for make_taylor has been cleared.
   1 old definition(s) deleted for function or rule make_taylor

Type: Void

Works probably with patch from bug #136 --unknown, Thu, 12 May 2005 10:53:18 -0500 reply

Axiom doesn't crash with this patch.

Cheers

Works with compiled functions --unknown, Thu, 12 May 2005 11:14:17 -0500 reply

Sorry, this code works with or without this patch if you compile the functions: )set function compile on
But

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maketaylor(x:Symbol):UnivariateTaylorSeries(Expression Integer,x,0) == 
        aa:=series( (n:INT):EXPR INT +-> a^n, x=0)$GenerateUnivariatePowerSeries(INT, EXPR INT)
        aa::UnivariateTaylorSeries(Expression Integer,x,0)

   Function declaration maketaylor : Symbol -> UnivariateTaylorSeries(
      Expression(Integer),x,0) has been added to workspace.

Type: Void

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maketaylor(x)

   Cannot compile conversion for types involving local variables. In 
      particular, could not compile the expression involving :: 
      UnivariateTaylorSeries(Expression(Integer),#1,0) 
   FriCAS will attempt to step through and interpret the code.

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Compiling function maketaylor with type Symbol -> 
      UnivariateTaylorSeries(Expression(Integer),x,0)

$\label{eq3}\begin{array}{@{}l} \displaystyle 1 +{a \ x}+{{{a}^{2}}\ {{x}^{2}}}+{{{a}^{3}}\ {{x}^{3}}}+{{{a}^{4}}\ {{x}^{4}}}+{{{a}^{5}}\ {{x}^{5}}}+{{{a}^{6}}\ {{x}^{6}}}+{{{a}^{7}}\ {{x}^{7}}}+ \ \ \displaystyle {{{a}^{8}}\ {{x}^{8}}}+{{{a}^{9}}\ {{x}^{9}}}+{{{a}^{10}}\ {{x}^{10}}}+{O \left({{x}^{11}}\right)}$

(3)

Type: UnivariateTaylorSeries?(Expression(Integer),x,0)

Cheers

... --kratt6, Thu, 20 Dec 2007 02:31:05 -0800 reply

Category: Axiom Compiler => Axiom Interpreter Status: open => fix proposed

... --test1, Mon, 28 Jul 2014 15:44:54 +0000 reply

Status: fix proposed => closed

Subject: (replying) Be Bold !!

	( 15 subscribers )