test improved evaluation of trigonometric functions and complex exponential function

[behackl]

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

[behackl]

Changed dependencies from pynac-0.6.3 to #20134

[behackl]

Branch: u/behackl/symbolic/period-reduction-doctests

[behackl]

New commits:

9db23de	package version / checksum
7785109	coth/acoth BuiltinFunction --> GinacFunction and fixes
2fab819	doctest fixes
867bd3d	doctests for reduction of exp-arguments
f868e90	doctests for argument reduction of sin, cos, tan
16045ae	additional doctest for computation of residues

[behackl]

Commit: 16045ae

[rwst]

Reviewer: Ralf Stephan

[rwst]

comment:3

Can be set positive as soon as the dependency is reviewed.