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"body": "<div id=\"comment:0\"></div>\n\nIn the current [development version of pynac](https://github.com/pynac/pynac) the evaluation of trigonometric functions has been improved. This enables the following behavior:\n\n```\nsage: var('k', domain='integer')\nk\nsage: sin(k*pi)\n0\nsage: cos(k*pi)\n(-1)^k\nsage: sin(1 + 2*k*pi)\nsin(1)\nsage: tan(k*pi)\n0\nsage: cos(2*k*pi + pi/3)\n1/2\n```\nand so on. Additionally, this introduces simplification for the complex exponential function:\n\n```\nsage: exp(2*k*pi*I)\nsage: 1\n```\nThis ticket shall document these changes.\n\nDepends on #20134\n\nCC: @rwst\n\nComponent: **symbolics**\n\nKeywords: **pynac**\n\nAuthor: **Benjamin Hackl**\n\nBranch/Commit: **[`edec004`](https://github.com/sagemath/sagetrac-mirror/commit/edec0041a0ef6df6df2acba2f20caea1b043178f)**\n\nReviewer: **Ralf Stephan, Julian R\u00fcth, Travis Scrimshaw**\n\n_Issue created by migration from https://trac.sagemath.org/ticket/20099_\n\n",
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In the current development version of pynac the evaluation of trigonometric functions has been improved. This enables the following behavior:
sage: var('k', domain='integer')
k
sage: sin(k*pi)
0
sage: cos(k*pi)
(-1)^k
sage: sin(1 + 2*k*pi)
sin(1)
sage: tan(k*pi)
0
sage: cos(2*k*pi + pi/3)
1/2
and so on. Additionally, this introduces simplification for the complex exponential function:
sage: exp(2*k*pi*I)
sage: 1
This ticket shall document these changes.
Depends on #20134
CC: @rwst
Component: symbolics
Keywords: pynac
Author: Benjamin Hackl
Branch/Commit: edec004
Reviewer: Ralf Stephan, Julian Rüth, Travis Scrimshaw
Issue created by migration from https://trac.sagemath.org/ticket/20099
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Changed dependencies from pynac-0.6.3 to #20134
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New commits:
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Reviewer: Ralf Stephan
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Can be set positive as soon as the dependency is reviewed.
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Needs merge.
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Changed commit from 16045ae
to 871c4c9
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Branch pushed to git repo; I updated commit sha1. New commits:
871c4c9 | Merge tag '7.2.beta1' into symbolic/period-reduction-doctests |
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Done, back to needs_review
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Author: Benjamin Hackl
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I think "For the sake of simplification, the argument is reduced the period of the complex exponential function" is missing a "modulo" or something like that. Once that is fixed, feel free to set it to positive review yourself.
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New commits:
5b01423 | trac 23030 removing bad apply |
7b4ec6c | Add sys.version_info as "PYTHON_VERSION" to cython compile-time environment |
71b68d2 | tract #22305 -- split off del_dictitem_by_exact_value and compile conditionally based on Py2/Py3 |
54d8c2d | Correction: Py3 does provide PyDict_GetItemWithError but Cython doesn't provide it yet |
5bc719c | Merge branch 'public/22305' of ssh://trac.sagemath.org:22/sage into test |
adabef0 | Merge branch 'u/behackl/symbolic/period-reduction-doctests' in 8.0.b7 |
e91dda2 | trac 20099 details |
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Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:
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edec004 | trac 20099 details |
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LGTM.
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