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From: SourceForge.net <noreply@so...>  20110315 20:11:52

Bugs item #3211975, was opened at 20110314 16:38 Message generated for change (Settings changed) made by dgildea You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3211975&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: Closed >Resolution: Fixed Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: Integral shouldn't be zero, but Maxima says it is Initial Comment: The following behavior leads to some weird results. In particular, if one plots cos(w+T)/(1+e*cos(T))^2 for various 0<e<1 and various w, it becomes clear that the answer shouldn't be zero. This is also tracked at http://trac.sagemath.org/sage_trac/ticket/8728 Maxima 5.23.2 http://maxima.sourceforge.net using Lisp SBCL 1.0.24 Distributed under the GNU Public License. See the file COPYING. Dedicated to the memory of William Schelter. The function bug_report() provides bug reporting information. (%i1) assume(1e^2>0); 2 (%o1) [e < 1] (%i3) integrate(cos(w+T)/(1+e*cos(T))^2,T,0,2*%pi); (%o3) 0 (%i4) integrate(cos(w+T)/(1+.5*cos(T))^2,T,0,2*%pi); rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.0625 by 1/16 = 0.0625 (%o4) 0 (%i5) integrate(cos(.5+T)/(1+.25*cos(T))^2,T,0,2*%pi); rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.015625 by 1/64 = 0.015625 rat: replaced 0.5 by 1/2 = 0.5 (%o5) 0 (%i6) keepfloat:True; (%o6) True (%i7) integrate(cos(.5+T)/(1+.25*cos(T))^2,T,0,2*%pi); Maxima encountered a Lisp error: The value 0.0625 is not of type FIXNUM. Automatically continuing. To enable the Lisp debugger set *debuggerhook* to nil.  >Comment By: Dan Gildea (dgildea) Date: 20110315 16:11 Message: Fixed in defint.lisp rev 1.86. However, lisp error with keepfloat:true is still present. (%i5) integrate(cos(w+T)/(1+(1/2)*cos(T))^2,T,0,2*%pi); (%o5) 8*%pi*cos(w)/3^(3/2) (%i4) integrate(cos(w+T)/(1+.5*cos(T))^2,T,0,2*%pi); rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.0625 by 1/16 = 0.0625 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 1.0 by 1/1 = 1.0 rat: replaced 0.25 by 1/4 = 0.25 rat: replaced 0.5 by 1/2 = 0.5 rat: replaced 0.0625 by 1/16 = 0.0625 (%o4) 8*%pi*cos(w)/3^(3/2) (%i6) integrate(cos(w+T)/(1+.5*cos(T))^2,T,0,2*%pi),keepfloat:true; Maxima encountered a Lisp error: Typeerror in KERNEL::OBJECTNOTFIXNUMERRORHANDLER: 0.25 is not of type FIXNUM Automatically continuing. To enable the Lisp debugger set *debuggerhook* to nil.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3211975&group_id=4933 
From: SourceForge.net <noreply@so...>  20110315 20:08:04

Bugs item #2989983, was opened at 20100420 12:35 Message generated for change (Comment added) made by dgildea You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2989983&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: Closed >Resolution: Fixed Priority: 5 Private: No Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: wrong integration answer Initial Comment: When using sage, and thus Maxima, for the integration of: Cos(T + w) / (1+e cos(T)^2 from 0 to 2*pi, sage (and thus maxima?) gives 0 as answer. There maple gives the answer: 2*pi*e*cos(w)/1e^2)^1.5 the correct commands in sage 4.3.5 are (don't know them in maxima): sage: e = var('e') sage: w = var('w') sage: T = var('T') sage: assume(1e^2>0) sage: integrate(cos(w+T)/(1+e*cos(T))^2, T, 0, 2*pi) 0  >Comment By: Dan Gildea (dgildea) Date: 20110315 16:08 Message: Fixed in defint.lisp rev 1.86. o dintegrate: try trigexpand for cases when arg of trig function is of form x+c. fixes integrate(cos(T+w)/(1+1/2*cos(T))^2, T, 0, 2*%pi) In this integral, the antideriv computed with the generateatan2 flag set to nil for definite integration is incorrect. Expanding before computing the integral works around this problem.  Comment By: Aleksas Domarkas (alex108) Date: 20100420 17:57 Message: Solving with maxima 5.21.0 : (%i1) S: 'integrate(cos(T+w)/(1+e*cos(T))^2, T, 0, 2*%pi)$ (%i2) first(%)$ (%i3) expand(%)$ (%i4) f:trigexpand(%)$ (%i5) F:integrate(f,T)$ "Is "e^21.0" positive or negative?"negative; Antiderivative F is discontinous at T=%pi. For example (%i6) wxplot2d([F], [T,0,2*%pi]),e=1/2,w=1$ plot2d: expression evaluates to nonnumeric value somewhere in plotting range. (%t6) << Graphics >> Then integral is equal (%i7) limit(F,T,%pi,minus)ev(F,T=0)+ev(F,T=2*%pi)limit(F,T,%pi,plus)$ (%i8) sol:ratsimp(%); (%o8) (2*%pi*e*sqrt(1e^2)*cos(w))/(e^42*e^2+1) This is same as Maple answer: (%i9) 2*pi*e*cos(w)/(1e^2)^1.5$  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2989983&group_id=4933 
From: SourceForge.net <noreply@so...>  20110315 17:17:04

Bugs item #3211915, was opened at 20110314 19:53 Message generated for change (Comment added) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3211915&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: None Group: None >Status: Closed Resolution: None Priority: 5 Private: No Submitted By: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: integration of abs(sin(x)) wrong Initial Comment: This definite integral should be 4. Maxima 5.23.2 http://maxima.sourceforge.net using Lisp SBCL 1.0.24 Distributed under the GNU Public License. See the file COPYING. Dedicated to the memory of William Schelter. The function bug_report() provides bug reporting information. (%i1) integrate(abs(sin(x)),x,0,2*%pi); (%o1) 0 One knows this because the following answer is correct, and the multiply by 4: (%i2) integrate(sin(x),x,0,%pi/2); (%o2) 1 See first report at http://trac.sagemath.org/sage_trac/ticket/10914  >Comment By: https://www.google.com/accounts () Date: 20110315 17:17 Message: Apparently this is a duplicate  see https://sourceforge.net/tracker/?func=detail&aid=3165872&group_id=4933&atid=104933, which is closed as fixed.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3211915&group_id=4933 
From: SourceForge.net <noreply@so...>  20110315 14:49:39

Bugs item #3213380, was opened at 20110315 10:49 Message generated for change (Tracker Item Submitted) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3213380&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 Group: None Status: Open Resolution: None Priority: 3 Private: No Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: ""(a,b) with simp:false prints incorrectly Initial Comment: With simp:true, ""(a,b)  internally, ((mminus) a b)  correctly simplifies to ab. But with simp:false, ""(a,b) prints as a, not as ab. s PS There are still some traces of the former nary mdifference operator in the code, but it is no longer supported.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3213380&group_id=4933 