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Integer and Rational classes need nth_root and exact_power functions #8
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Fixed. Fri Sep 15 17:19:10 PDT 2006 dmharvey@math.harvard.edu
Fri Sep 15 17:18:20 PDT 2006 dmharvey@math.harvard.edu
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### 📚 Description Trac branch `u/gh-collares/gap-gc` from #34701, now migrated to GitHub. Currently based atop #35093; will rebase once that is merged. The rest of the description below is copied from #34701: A refactor in #27946 introduced "unprotected" (not surrounded by `GAP_Enter`/`GAP_Leave`) `GAP_ValueGlobalVariable` calls. I believe this might be a GC hazard, because after updating to GAP 4.12.1 I started seeing aarch64 crashes on NixOS infrastructure such as: ``` #0 0x0000fffff79740e8 in wait4 () #1 0x0000fffff5dc6b78 in print_enhanced_backtrace () #2 0x0000fffff5dc8190 in sigdie () #3 0x0000fffff5dcb1c0 in cysigs_signal_handler () #4 0x0000fffff7ffb7cc in __kernel_rt_sigreturn () #5 0x0000ffff99a0bf28 in ConvString () #6 0x0000000000000000 in ?? () #7 0x0000000000000000 in ?? () #8 0x0000000000000000 in ?? () #9 0x0000ffff99989930 in Pr () #10 0x0000ffff9998aa18 in CloseOutput () #11 0x0000ffff99884828 in capture_stdout () at /build/sage- src-9.7/pkgs/sagemath-standard/sage/libs/gap/element.pyx:154 ... ``` I also see cases where `capture_stdout` throws errors such as `sage.libs.gap.util.GAPError: Error, Length: <list> must be a list (not the integer 255)` and then crashes. Both types of errors are fixed by this ticket. Note that I am nesting `GAP_Enter`/`GAP_Leave` calls because I didn't remove the preexisting calls inside `capture_stdout`. That's because I feared removing the innermost calls might create a new footgun (and I believe nested `GAP_Enter`/`GAP_Leave` calls are explicitly supported), but removing them should cause no problem. Removing them might even be preferable for performance reasons, I don't know. Fixes #34701 ### 📝 Checklist <!-- Put an `x` in all the boxes that apply. --> <!-- If your change requires a documentation PR, please link it appropriately --> <!-- If you're unsure about any of these, don't hesitate to ask. We're here to help! --> - [x] I have made sure that the title is self-explanatory and the description concisely explains the PR. - [x] I have linked an issue or discussion. - [ ] I have created tests covering the changes. - [ ] I have updated the documentation accordingly. ### ⌛ Dependencies <!-- List all open pull requests that this PR logically depends on --> <!-- - #xyz: short description why this is a dependency - #abc: ... --> - #35093: GAP 4.12.2 upgrade, which touches the same function and should land first. URL: #35114 Reported by: Mauricio Collares Reviewer(s): Dima Pasechnik
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…block_matrix_form, summand_matrices (sagemath#8) * wip onesum * wip onesum2 * wip onesum test * onesum node example * fixed names of .summand_matrices() and .block_matrix_form, ....: and added examples to ._children() * style fixes --------- Co-authored-by: J S <javier@javiers-mbp.mynetworksettings.com> Co-authored-by: J S <javier@campus-017-091.ucdavis.edu>
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…block_matrix_form, summand_matrices (sagemath#8) * wip onesum * wip onesum2 * wip onesum test * onesum node example * fixed names of .summand_matrices() and .block_matrix_form, ....: and added examples to ._children() * style fixes --------- Co-authored-by: J S <javier@javiers-mbp.mynetworksettings.com> Co-authored-by: J S <javier@campus-017-091.ucdavis.edu>
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…block_matrix_form, summand_matrices (sagemath#8) * wip onesum * wip onesum2 * wip onesum test * onesum node example * fixed names of .summand_matrices() and .block_matrix_form, ....: and added examples to ._children() * style fixes --------- Co-authored-by: J S <javier@javiers-mbp.mynetworksettings.com> Co-authored-by: J S <javier@campus-017-091.ucdavis.edu>
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…block_matrix_form, summand_matrices (sagemath#8) * wip onesum * wip onesum2 * wip onesum test * onesum node example * fixed names of .summand_matrices() and .block_matrix_form, ....: and added examples to ._children() * style fixes --------- Co-authored-by: J S <javier@javiers-mbp.mynetworksettings.com> Co-authored-by: J S <javier@campus-017-091.ucdavis.edu>
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It would be useful for Integer and Rational classes to have:
(1) nth_root: this would wrap GMP's mpz_root.
(2) exact_power: would accept a rational number as an index, and work out which root to take. For example
(-8/27).exact_power(2/3) == 4/9
I had to take an exact 6th root of a rational in some code the other day and it was painful going via real numbers, worrying about bits of precision and all that.
Component: basic arithmetic
Issue created by migration from https://trac.sagemath.org/ticket/8
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