* Work

* Tweak

* Fmt

* Work

* Format + typo fixes

* `no-std` fix

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

Co-authored-by: Sun <huachuang20@gmail.com>
Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

* Bug Fix in `domain` and API changes

Currently, `domain.query_position_to_coset` is not consistent native code in `ark-ldt`. This commit does the following changes:
* change `query_position_to_coset` to `query_position_to_coset_elements`, and make the return result consistent with native code
* add function `query_position_to_coset` to just return generator and offset instead of coset elements. This is useful when evaluating vanishing poly.

* minor bug fix

* update CHANGELOG

* `query_position_to_coset_elements` use `query_position_to_coset`

* Update CHANGELOG.md

Co-authored-by: Weikeng Chen <w.k@berkeley.edu>

* restructure code

* done

* add changelog

* add the changelog to mark this as a breaking change

* add the CHANGELOG

* tweak

* add `EqGadget`

* rename generate_interpolate_cache to generate_interpolation_cache

* address the comment

Co-authored-by: weikeng <w.k@berkeley.edu>

* add domain and vp

* add lagrange interpolator

* add query position to coset

* nostd

* add test assertion

* fmt

* fix test

* add Add and Sub arithmetic

* add Add and Sub arithmetic

* add unit test for mul/div arithmetic

* add more doc for clarification

* add test for native interpolate

* add test for vp constraints

* fix lagrange interpolate bug

* comment cleanup + fmt

* add CHANGELOG

* fix a compile error

* Update CHANGELOG.md

* Update CHANGELOG.md

* fix comment

* doc fix

* doc update 2

* doc update 3

* pub lagrange_interpolator

* doc fix

* rename `EvaluationDomain` to `Radix2Domain`

* tweak

* tweak

Co-authored-by: weikeng <w.k@berkeley.edu>