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## maxima-bugs

 [Maxima-bugs] [ maxima-Bugs-769860 ] taylor bind stack overflow: sin(2*atan(x))@q From: SourceForge.net - 2003-07-11 20:49:37 ```Bugs item #769860, was opened at 2003-07-11 16:49 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: taylor bind stack overflow: sin(2*atan(x))@q Initial Comment: taylor(sin(2*atan(x)),x,q,1) results in a bind stack overflow (internal error) -- try- expand appears to be in an infinite recursion. The expansion is well-behaved, and can be derived using the Taylor-MacLaurin formula: r1: taylor(f(x),x,q,1)\$ r2: subst(lambda([x],sin(2*atan(x))),f,r1)\$ r3: ev(r2,diff,at)\$ Which gives: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 This can be prettified: map(factor,trigexpand(r3)) ...=> 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-769860 ] taylor bind stack overflow: sin(2*atan(x))@q From: SourceForge.net - 2003-07-12 00:44:19 ```Bugs item #769860, was opened at 2003-07-11 16:49 Message generated for change (Comment added) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: taylor bind stack overflow: sin(2*atan(x))@q Initial Comment: taylor(sin(2*atan(x)),x,q,1) results in a bind stack overflow (internal error) -- try- expand appears to be in an infinite recursion. The expansion is well-behaved, and can be derived using the Taylor-MacLaurin formula: r1: taylor(f(x),x,q,1)\$ r2: subst(lambda([x],sin(2*atan(x))),f,r1)\$ r3: ev(r2,diff,at)\$ Which gives: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 This can be prettified: map(factor,trigexpand(r3)) ...=> 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- >Comment By: Stavros Macrakis (macrakis) Date: 2003-07-11 20:44 Message: Logged In: YES user_id=588346 Did I forget to untabify? Or is sourceforge compressing spaces now? Testing: aaaTaaaTaaaTaaa aaa aaa aaa aaa aaa aaa aaa aaa aaaSSSSSaaaSSSSSaaaSSSSSaaa ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-769860 ] taylor bind stack overflow: sin(2*atan(x))@q From: SourceForge.net - 2003-07-12 00:46:42 ```Bugs item #769860, was opened at 2003-07-11 16:49 Message generated for change (Comment added) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: taylor bind stack overflow: sin(2*atan(x))@q Initial Comment: taylor(sin(2*atan(x)),x,q,1) results in a bind stack overflow (internal error) -- try- expand appears to be in an infinite recursion. The expansion is well-behaved, and can be derived using the Taylor-MacLaurin formula: r1: taylor(f(x),x,q,1)\$ r2: subst(lambda([x],sin(2*atan(x))),f,r1)\$ r3: ev(r2,diff,at)\$ Which gives: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 This can be prettified: map(factor,trigexpand(r3)) ...=> 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- >Comment By: Stavros Macrakis (macrakis) Date: 2003-07-11 20:46 Message: Logged In: YES user_id=588346 Untabified: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 map(factor,trigexpand(r3)); 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- Comment By: Stavros Macrakis (macrakis) Date: 2003-07-11 20:44 Message: Logged In: YES user_id=588346 Did I forget to untabify? Or is sourceforge compressing spaces now? Testing: aaaTaaaTaaaTaaa aaa aaa aaa aaa aaa aaa aaa aaa aaaSSSSSaaaSSSSSaaaSSSSSaaa ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-769860 ] taylor bind stack overflow: sin(2*atan(x))@q From: SourceForge.net - 2006-04-09 20:43:47 ```Bugs item #769860, was opened at 2003-07-11 14:49 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. >Category: Lisp Core - Taylor Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: taylor bind stack overflow: sin(2*atan(x))@q Initial Comment: taylor(sin(2*atan(x)),x,q,1) results in a bind stack overflow (internal error) -- try- expand appears to be in an infinite recursion. The expansion is well-behaved, and can be derived using the Taylor-MacLaurin formula: r1: taylor(f(x),x,q,1)\$ r2: subst(lambda([x],sin(2*atan(x))),f,r1)\$ r3: ev(r2,diff,at)\$ Which gives: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 This can be prettified: map(factor,trigexpand(r3)) ...=> 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- Comment By: Stavros Macrakis (macrakis) Date: 2003-07-11 18:46 Message: Logged In: YES user_id=588346 Untabified: 2 COS(2 ATAN(q)) (x - q) ------------------------ + SIN(2 ATAN(q)) 2 q + 1 map(factor,trigexpand(r3)); 2 q 2 (q - 1) (q + 1) (x - q) ------ - ------------------------- 2 2 2 q + 1 (q + 1) ---------------------------------------------------------------------- Comment By: Stavros Macrakis (macrakis) Date: 2003-07-11 18:44 Message: Logged In: YES user_id=588346 Did I forget to untabify? Or is sourceforge compressing spaces now? Testing: aaaTaaaTaaaTaaa aaa aaa aaa aaa aaa aaa aaa aaa aaaSSSSSaaaSSSSSaaaSSSSSaaa ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=769860&group_id=4933 ```