Responses to referee 1

[tobydriscoll]

Based on comments from a paper reviewer.

[codecov]

Codecov Report

❌ Patch coverage is 30.00000% with 7 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
src/thiele.jl	16.66%	5 Missing ⚠️
src/barycentric.jl	66.66%	1 Missing ⚠️
src/parfrac.jl	0.00%	1 Missing ⚠️

📢 Thoughts on this report? Let us know!

[github-actions]

Benchmark Results

Ratios above 1 mean this PR is slower than main.

	main	81b4b56...	main / 81b4b56...
approximate/aaa/abs_circle	0.0454 ± 0.0014 s	0.0461 ± 0.0016 s	0.986 ± 0.046
approximate/aaa/exp_interval	0.148 ± 0.027 ms	0.143 ± 0.032 ms	1.03 ± 0.29
approximate/aaa/tanh_steep	1.66 ± 0.07 ms	1.63 ± 0.071 ms	1.02 ± 0.061
approximate/thiele/abs_circle	4.97 ± 0.04 ms	4.96 ± 0.038 ms	1 ± 0.011
approximate/thiele/exp_interval	0.0983 ± 0.0041 ms	0.0975 ± 0.0044 ms	1.01 ± 0.062
approximate/thiele/tanh_steep	0.244 ± 0.013 ms	0.242 ± 0.013 ms	1.01 ± 0.075
approximate_discrete/aaa/abs_shift	4.06 ± 0.06 ms	4.07 ± 0.066 ms	0.997 ± 0.022
approximate_discrete/aaa/sin_recip	1.36 ± 0.028 ms	1.37 ± 0.03 ms	0.992 ± 0.03
approximate_discrete/aaa/tanh_steep	11.9 ± 0.47 ms	12 ± 0.46 ms	0.991 ± 0.055
approximate_discrete/thiele/abs_shift	0.271 ± 0.028 ms	0.271 ± 0.026 ms	0.998 ± 0.14
approximate_discrete/thiele/sin_recip	0.139 ± 0.014 ms	0.139 ± 0.014 ms	1 ± 0.14
approximate_discrete/thiele/tanh_steep	0.927 ± 0.097 ms	0.929 ± 0.096 ms	0.998 ± 0.15
evaluate/bary_vector	0.142 ± 0.0069 ms	0.148 ± 0.0066 ms	0.954 ± 0.063
evaluate/thiele_vector	0.0905 ± 0.00062 ms	0.107 ± 0.00077 ms	0.843 ± 0.0084
poles/thiele	0.42 ± 0.014 ms	0.422 ± 0.018 ms	0.997 ± 0.054
time_to_load	0.887 ± 0.0049 s	0.888 ± 0.0069 s	0.998 ± 0.0095

Benchmark Plots

Plots have been uploaded as an artifact to this workflow run
("Actions" -> this run -> "Artifacts" at the bottom).