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maxima-bugs

 [Maxima-bugs] [ maxima-Bugs-742909 ] trigrat(sin(x/2)) makes a mess From: SourceForge.net - 2003-05-24 22:27:46 ```Bugs item #742909, was opened at 2003-05-24 18:27 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=742909&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 4 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: trigrat(sin(x/2)) makes a mess Initial Comment: trigrat(sin(x/2)) => -(%I*(SIN(x/2)*SIN(x)+COS(x/2)*COS(x)-COS(x/2))- COS(x/2)*SIN(x)+SIN(x/2)*COS(x)-SIN(x/2))/(2*SIN(x/2) ^2+2*COS(x/2)^2) Although this is correct, I doubt that this is what trigrat is supposed to do. After all, it has not eliminated sin (x/2); the result contains sin(x/2), but also contains sin^2+cos^2, so it doesn't seem "more linear" in any sense. Also, it is not a canonical form: trigrat(ev(sin (x/2),halfangles)) gives something else (even messier). Note also that sin(2*x) does not expand in trigrat. ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-742909 ] trigrat(sin(x/2)) makes a mess From: SourceForge.net - 2006-07-07 05:16:22 ```Bugs item #742909, was opened at 2003-05-24 16:27 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&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: 4 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: trigrat(sin(x/2)) makes a mess Initial Comment: trigrat(sin(x/2)) => -(%I*(SIN(x/2)*SIN(x)+COS(x/2)*COS(x)-COS(x/2))- COS(x/2)*SIN(x)+SIN(x/2)*COS(x)-SIN(x/2))/(2*SIN(x/2) ^2+2*COS(x/2)^2) Although this is correct, I doubt that this is what trigrat is supposed to do. After all, it has not eliminated sin (x/2); the result contains sin(x/2), but also contains sin^2+cos^2, so it doesn't seem "more linear" in any sense. Also, it is not a canonical form: trigrat(ev(sin (x/2),halfangles)) gives something else (even messier). Note also that sin(2*x) does not expand in trigrat. ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-742909 ] trigrat(sin(x/2)) makes a mess From: SourceForge.net - 2006-08-27 00:22:06 ```Bugs item #742909, was opened at 2003-05-24 16:27 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&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: 4 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: trigrat(sin(x/2)) makes a mess Initial Comment: trigrat(sin(x/2)) => -(%I*(SIN(x/2)*SIN(x)+COS(x/2)*COS(x)-COS(x/2))- COS(x/2)*SIN(x)+SIN(x/2)*COS(x)-SIN(x/2))/(2*SIN(x/2) ^2+2*COS(x/2)^2) Although this is correct, I doubt that this is what trigrat is supposed to do. After all, it has not eliminated sin (x/2); the result contains sin(x/2), but also contains sin^2+cos^2, so it doesn't seem "more linear" in any sense. Also, it is not a canonical form: trigrat(ev(sin (x/2),halfangles)) gives something else (even messier). Note also that sin(2*x) does not expand in trigrat. ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-742909 ] trigrat(sin(x/2)) makes a mess From: SourceForge.net - 2010-05-11 00:08:52 ```Bugs item #742909, was opened at 2003-05-25 00:27 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&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: Closed >Resolution: Fixed Priority: 4 Private: No Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: trigrat(sin(x/2)) makes a mess Initial Comment: trigrat(sin(x/2)) => -(%I*(SIN(x/2)*SIN(x)+COS(x/2)*COS(x)-COS(x/2))- COS(x/2)*SIN(x)+SIN(x/2)*COS(x)-SIN(x/2))/(2*SIN(x/2) ^2+2*COS(x/2)^2) Although this is correct, I doubt that this is what trigrat is supposed to do. After all, it has not eliminated sin (x/2); the result contains sin(x/2), but also contains sin^2+cos^2, so it doesn't seem "more linear" in any sense. Also, it is not a canonical form: trigrat(ev(sin (x/2),halfangles)) gives something else (even messier). Note also that sin(2*x) does not expand in trigrat. ---------------------------------------------------------------------- >Comment By: Dieter Kaiser (crategus) Date: 2010-05-11 02:08 Message: Fixed in trigrat.lisp revision 1.9. Closing this bug report as fixed. Dieter Kaiser ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=742909&group_id=4933 ```