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From: SourceForge.net <noreply@so...>  20100810 23:14:23

Bugs item #3020243, was opened at 20100623 11:53 Message generated for change (Comment added) made by dgildea You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3020243&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: Pending >Resolution: Fixed Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: defint(exp(cos(x))*cos(sin(x)),x,0,2*%pi) wrong result 0 Initial Comment: The correct result is 2*%pi. This is a new bug appearing in version 5.21.1. Previous versions (<= 5.20.1 ) return just the integral expression unevaluated, which is fair enough, but most importantly is not a wrong result. Maxima version: 5.21.1 Maxima build date: 8:13 4/26/2010 Host type: i686pcmingw32 also on linux system (fedora11) Lisp implementation type: GNU Common Lisp (GCL) also with cmucl Lisp implementation version: GCL 2.6.8 also with cmucl 19f  >Comment By: Dan Gildea (dgildea) Date: 20100810 19:14 Message: Fixed in defint.lisp rev 1.81: give up when we see %gamma_incomplete in limitsubs, due to discontinuities. This integral now returns a noun form. Ideally the code would identify the discontinuities and handle them.  Comment By: Raymond Toy (rtoy) Date: 20100624 15:57 Message: Expanding does produce a better answer. The derivative does equal the integrand. Plotting realpart(%o3 )shows a discontinuity near %pi. (Perhaps it's a bug, but plot2d(%o3,[x,0,%pi]) produces a warning that a nonnumeric value occurs somewhere. It seems as if it occurs everywhere except at 0.)  Comment By: Dieter Kaiser (crategus) Date: 20100624 14:42 Message: We get a more simple result when expanding the function gamma_incomplete: (%i3) integrate(exp(cos(x))*cos(sin(x)),x),gamma_expand:true; (%o3) (%i*expintegral_ei(%e^(%i*x))%i*expintegral_ei(%e^(%i*x)))/2 I think this result is correct, as a reference I have compared the result with wolfram alpha. But nevertheless, the definite integral is wrong and I am wondering why the conjugate function is introduced in the unsimplified result. Dieter Kaiser  Comment By: Raymond Toy (rtoy) Date: 20100624 14:18 Message: This particular integral is evaluated by computing the antiderivative. Perhaps in earlier versions, maxima could not, but maxima can now. So integrate(exp(cos(x))*cos(sin(x)),x) returns: (%i*conjugate(gamma_incomplete(0,%e^(%i*x))) %i*conjugate(gamma_incomplete(0,%e^(%i*x))) %i*gamma_incomplete(0,%e^(%i*x))+%i*gamma_incomplete(0,%e^(%i*x))) /4 Somehow this doesn't look right. Don't know if this is the correct antiderivative or not, but that's how maxima gets zero for the answer. At x=0, the result is zero, and by periodicity x=2*%pi is also zero. The wrong branch cut is taken, assuming the antiderivative is correct.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3020243&group_id=4933 
From: SourceForge.net <noreply@so...>  20100810 18:08:37

Bugs item #3030806, was opened at 20100716 20:07 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3030806&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  Trigonometry Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: no exact result sin(%pi/12) Initial Comment: Maxima doesn't count exact result of sin(%pi/12) or cos(%pi/12), etc. despite the fact it's simple. It is (sqrt(3)1)/2*sqrt(2)  or (in other form): (sqrt(6)sqrt(2))/4.  >Comment By: Raymond Toy (rtoy) Date: 20100810 14:08 Message: They are not exactly 0.5 because of the way they're computed. %pi/6 and %pi/3 are converted to doublefloats and the Lisp function cl:sin and cl:cos are called to compute the result. Try float(sin(%pi/6)) and float(cos(%pi/3)). These return exactly 0.5 because maxima simplifies sin(%pi/6) to 1/2, and float converts that to a float.  Comment By: https://www.google.com/accounts () Date: 20100810 12:23 Message: There is also a problem in numerical evaluation of sin(%pi/6) and cos(%pi/3): (%i1) sin(%pi/6),numer; (%o1) .4999999999999999 (%i2) cos(%pi/3),numer; (%o2) .5000000000000001 Why aren't they 0.5? It is not a big error, but it should be fixed  Comment By: Raymond Toy (rtoy) Date: 20100716 22:16 Message: This is really a feature request, not a bug. Having said that, I have some code to handle this and other cases like %pi/3/2^m and %pi/5/2^m.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3030806&group_id=4933 
From: SourceForge.net <noreply@so...>  20100810 16:23:15

Bugs item #3030806, was opened at 20100717 02:07 Message generated for change (Comment added) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3030806&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  Trigonometry Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: no exact result sin(%pi/12) Initial Comment: Maxima doesn't count exact result of sin(%pi/12) or cos(%pi/12), etc. despite the fact it's simple. It is (sqrt(3)1)/2*sqrt(2)  or (in other form): (sqrt(6)sqrt(2))/4.  Comment By: https://www.google.com/accounts () Date: 20100810 18:23 Message: There is also a problem in numerical evaluation of sin(%pi/6) and cos(%pi/3): (%i1) sin(%pi/6),numer; (%o1) .4999999999999999 (%i2) cos(%pi/3),numer; (%o2) .5000000000000001 Why aren't they 0.5? It is not a big error, but it should be fixed  Comment By: Raymond Toy (rtoy) Date: 20100717 04:16 Message: This is really a feature request, not a bug. Having said that, I have some code to handle this and other cases like %pi/3/2^m and %pi/5/2^m.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3030806&group_id=4933 
From: SourceForge.net <noreply@so...>  20100810 11:00:01

Bugs item #3042364, was opened at 20100810 03:41 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3042364&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  Limit Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: Maxima can't evaluate limit(sin(n*x)/n,n,inf) Initial Comment: As in summary (%i1) limit(sin(n*x)/n,n,inf); sin(n x) (%o1) limit  n > inf n but it should be 0  >Comment By: Barton Willis (willisbl) Date: 20100810 06:00 Message: When x = %i, the value of the limit isn't zero. But Maxima assumes all variables are realvalued.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3042364&group_id=4933 
From: SourceForge.net <noreply@so...>  20100810 08:41:05

Bugs item #3042364, was opened at 20100810 10:41 Message generated for change (Tracker Item Submitted) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3042364&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  Limit Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: Maxima can't evaluate limit(sin(n*x)/n,n,inf) Initial Comment: As in summary (%i1) limit(sin(n*x)/n,n,inf); sin(n x) (%o1) limit  n > inf n but it should be 0  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3042364&group_id=4933 