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From: SourceForge.net <noreply@so...>  20060905 16:15:42

Bugs item #1552710, was opened at 20060905 10:27 Message generated for change (Settings changed) made by macrakis You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1552710&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  Simplification Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: product(sum(f(i),i,1,inf),j,1,inf) => inf (wrong) Initial Comment: product(sum(f(i),i,1,inf),j,1,inf) simplifies to inf This is wrong. The simplest counterexample is f(i):=0, where the product = 0. If you want to get fancier, consider f(i):=2^i; product = 1. 5.9.3 Windows GCL  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1552710&group_id=4933 
From: SourceForge.net <noreply@so...>  20060905 16:08:13

Bugs item #1552789, was opened at 20060905 12:08 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=1552789&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 Submitted By: Raymond Toy (rtoy) Assigned to: Nobody/Anonymous (nobody) Summary: integrate(1/(sin(x)^2+1),x,1,1+%pi) takes forever Initial Comment: This is a followon to Bug [ 1044318 ] defint(1/(sin(x)^2+1),x,0,3*%pi) wrong. integrate(1/(sin(x)^2+1),x,1,1+%pi) seems to take forever. But if the limits are 0 and %pi, the integral is evaluated instantly with the correct value.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1552789&group_id=4933 
From: SourceForge.net <noreply@so...>  20060905 15:41:22

Bugs item #1044318, was opened at 20041010 23:40 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1044318&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 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: defint(1/(sin(x)^2+1),x,0,3*%pi) wrong Initial Comment: INTEGRATE(1/(SIN(x)^2+1),x,0,3*%PI) => 0 Since the integrand is everywhere >= 1/2, the integral cannot be zero  in fact integrate(1/(sin(x)^2+1),x,q,q+k*%pi) = k*pi/sqrt(2) (real q, integral k) Presumably defint is using the indefinite integral atan(2*tan(x)/sqrt(2))/sqrt(2) inappropriately.  >Comment By: Raymond Toy (rtoy) Date: 20060905 11:40 Message: Logged In: YES user_id=28849 Closing this report. The function INFR has been replaced with a new version that works for this case. I've also updated INTSC1 so that it can handle the case where the limits are q and q + k * 2 * %pi, for k a numerical integer. There are still other issues, which we be in a new bug report.  Comment By: Raymond Toy (rtoy) Date: 20060901 17:12 Message: Logged In: YES user_id=28849 I think the problem is caused by INFR. I think it's supposed to compute how many full periods and fractional periods are in the integral, but it does it incorrectly. The following replacement: (defun infr (a) (let* ((q (igprt (div a (mul 2 '$%pi)))) (r (add a (mul 1 (mul q 2 '$%pi))))) (cons q r))) works much better for this example, and we get 3*pi/sqrt(2), as expected. In the results shown by Robert, ratsimp produces zero because atan is using the principal result, but defint is trying to tell you to be careful by returning atan(sqrt(2)*tan(3*%pi))...  Comment By: Robert Dodier (robert_dodier) Date: 20060730 23:46 Message: Logged In: YES user_id=501686 Observed in 5.9.3cvs. I find defint(1/(sin(x)^2+1),x,0,3*%pi); => sqrt(2)*atan(sqrt(2)*tan(3*%pi))/2 sqrt(2)*atan(sqrt(2)*tan(0))/2 but then ratsimp(%) => 0 .  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1044318&group_id=4933 
From: SourceForge.net <noreply@so...>  20060905 14:27:53

Bugs item #1552710, was opened at 20060905 10:27 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=1552710&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: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: product(sum(f(i),i,1,inf),j,1,inf) => inf (wrong) Initial Comment: product(sum(f(i),i,1,inf),j,1,inf) simplifies to inf This is wrong. The simplest counterexample is f(i):=0, where the product = 0. If you want to get fancier, consider f(i):=2^i; product = 1. 5.9.3 Windows GCL  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1552710&group_id=4933 