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15

16
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From: SourceForge.net <noreply@so...>  20091104 20:46:04

Bugs item #2890315, was opened at 20091101 09:54 Message generated for change (Comment added) made by mitreude You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2890315&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  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: mitreuden (mitreude) Assigned to: Nobody/Anonymous (nobody) Summary: integrate(cot(x)^4,x,%pi/6,%pi/2) answer Initial Comment: The first time integrate(cot(x)^4,x,%pi/6,%pi/2) is executed, the answer of %pi/3 returned is correct. However, when the integral is computed again, an incorrect answer of 4*%pi/3 is returned.  >Comment By: mitreuden (mitreude) Date: 20091104 14:45 Message: OK, I examined the file trgsmp.mac and found that if I changed the order of simplification rules in the definition of the function trigsimp(),I can consistently get the correct answer. Here is what I did: load(trgsmp)$ defrule(trigrule1,sec(a),1/cos(a))$ defrule(trigrule2,csc(a),1/sin(a))$ defrule(trigrule3,tan(a),sin(a)/cos(a))$ defrule(trigrule4,cot(a),cos(a)/sin(a))$ defrule(htrigrule1,sech(a),1/cosh(a))$ defrule(htrigrule2,csch(a),1/sinh(a))$ defrule(htrigrule3,tanh(a),sinh(a)/cosh(a))$ defrule(htrigrule4,coth(a),cosh(a)/sinh(a))$ trigsimp(x):=trigsimp3(ratsimp(apply1(x,trigrule4,trigrule1,trigrule2,trigrule3,trigrule4, htrigrule1,htrigrule2,htrigrule3,htrigrule4)))$ integrate(cot(x)^4,x,%pi/6,%pi/2); It seems that the tangent simplification should not come first. Why this works on this particular problem, I don't have a clue. Also, might changing the simplification order cause a problem in an integral where Maxima previously found the correct answer? I have more questions than answers. Mike Treuden  Comment By: Raymond Toy (rtoy) Date: 20091104 11:01 Message: Sorry, you are correct. My working tree had a fix for Bug 2880797. Why this makes a difference, I don't know.  Comment By: Dieter Kaiser (crategus) Date: 20091103 16:21 Message: I can see this bug too with CLISP 2.44 and Maxima 5.19post on my Linux system: (%i2) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o2) %pi/3 (%i3) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o3) 4*%pi/3 Evaluating this integral the package trgsmp is loaded: (%i5) functions; (%o5) [trigonometricp(exp),trigsimp(x),trigsimp3(expn),trigsimp1(expn), improve(expn,subsofar,listoftrigsq),listoftrigsq(expn), specialunion(list1,list2),update(form,complement),expnlength(expr), argslength(args)] When I kill the functions defined by this package the integral is correct again: (%i6) kill(functions); (%o6) done (%i7) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o7) %pi/3 And the next evaluation is wrong again: (%i8) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o8) 4*%pi/3 When I preload the package trgsmp I get the error immediately: (%i11) kill(functions); (%o11) done (%i12) load(trgsmp); (%o12) "/usr/local/share/maxima/5.19post/share/trigonometry/trgsmp.mac" (%i13) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o13) 4*%pi/3 Reopening the bug report. Dieter Kaiser  Comment By: Raymond Toy (rtoy) Date: 20091102 10:25 Message: Neat bug. But current cvs returns %pi/3 both times. Do not know what has changed, but it seems current CVS has fixed this issue. Marking as pending/worksforme  Comment By: mitreuden (mitreude) Date: 20091101 21:46 Message: This problem occurs with version 5.19.2 of Maxima.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2890315&group_id=4933 
From: SourceForge.net <noreply@so...>  20091104 17:01:57

Bugs item #2890315, was opened at 20091101 10:54 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2890315&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  Integration Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: mitreuden (mitreude) Assigned to: Nobody/Anonymous (nobody) Summary: integrate(cot(x)^4,x,%pi/6,%pi/2) answer Initial Comment: The first time integrate(cot(x)^4,x,%pi/6,%pi/2) is executed, the answer of %pi/3 returned is correct. However, when the integral is computed again, an incorrect answer of 4*%pi/3 is returned.  >Comment By: Raymond Toy (rtoy) Date: 20091104 12:01 Message: Sorry, you are correct. My working tree had a fix for Bug 2880797. Why this makes a difference, I don't know.  Comment By: Dieter Kaiser (crategus) Date: 20091103 17:21 Message: I can see this bug too with CLISP 2.44 and Maxima 5.19post on my Linux system: (%i2) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o2) %pi/3 (%i3) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o3) 4*%pi/3 Evaluating this integral the package trgsmp is loaded: (%i5) functions; (%o5) [trigonometricp(exp),trigsimp(x),trigsimp3(expn),trigsimp1(expn), improve(expn,subsofar,listoftrigsq),listoftrigsq(expn), specialunion(list1,list2),update(form,complement),expnlength(expr), argslength(args)] When I kill the functions defined by this package the integral is correct again: (%i6) kill(functions); (%o6) done (%i7) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o7) %pi/3 And the next evaluation is wrong again: (%i8) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o8) 4*%pi/3 When I preload the package trgsmp I get the error immediately: (%i11) kill(functions); (%o11) done (%i12) load(trgsmp); (%o12) "/usr/local/share/maxima/5.19post/share/trigonometry/trgsmp.mac" (%i13) integrate(cot(x)^4,x,%pi/6,%pi/2); (%o13) 4*%pi/3 Reopening the bug report. Dieter Kaiser  Comment By: Raymond Toy (rtoy) Date: 20091102 11:25 Message: Neat bug. But current cvs returns %pi/3 both times. Do not know what has changed, but it seems current CVS has fixed this issue. Marking as pending/worksforme  Comment By: mitreuden (mitreude) Date: 20091101 22:46 Message: This problem occurs with version 5.19.2 of Maxima.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2890315&group_id=4933 