Differentiation of conj/imag/real/abs functions

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At the moment the result from differentiation of the functions conj, real, imag, abs does not take the argument domain into account.

sage: _ = var('x', domain='real')
sage: _ = var('z')

sage: (x^z).conjugate().diff(x)
x^(z - 1)*z*D[0](conjugate)(x^z)
sage: atan(x).imag_part().diff(x)
D[0](imag_part)(arctan(x))/(x^2 + 1)
sage: abs(log(z)).diff(z)
log(z)/(z*abs(log(z)))

GiNaC has functionality that is only now included in Pynac. The ticket should doctest it when it is implemented. It all benefits from recent domain logic improvements in Pynac as well.

pynac/pynac#45

Depends on #22219

Component: symbolics

Author: Ralf Stephan

Branch/Commit: 052e3cb

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/22209

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Description changed:

--- 
+++ 
@@ -13,3 +13,5 @@
 ```
 
 GiNaC has functionality that is only now included in Pynac. The ticket should doctest it when it is implemented.
+
+https://github.com/pynac/pynac/issues/45

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Branch: u/rws/differentiation_of_conj_imag_real_abs_functions

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Dependencies: pynac-0.7.4

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Author: Ralf Stephan

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Description changed:

--- 
+++ 
@@ -1,4 +1,4 @@
-At the moment the result from differentiation of the functions `conj`, `real`, `imag` is preliminary, and from `abs` is wrong.
+At the moment the result from differentiation of the functions `conj`, `real`, `imag`,  `abs` does not take the argument domain into account.
 
 ```
 sage: _ = var('x', domain='real')
@@ -12,6 +12,6 @@
 log(z)/(z*abs(log(z)))
 ```
 
-GiNaC has functionality that is only now included in Pynac. The ticket should doctest it when it is implemented.
+GiNaC has functionality that is only now included in Pynac. The ticket should doctest it when it is implemented. It all benefits from recent domain logic improvements in Pynac as well.
 
 https://github.com/pynac/pynac/issues/45

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Commit: f96fe12

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New commits:

f96fe12

22209: Differentiation of conj/imag/real/abs functions

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Changed dependencies from pynac-0.7.4 to #22219