{"id":17448134,"url":"https://github.com/realazthat/exterpolation","last_synced_at":"2026-03-16T06:11:14.209Z","repository":{"id":221006687,"uuid":"753185565","full_name":"realazthat/exterpolation","owner":"realazthat","description":"Define the word exterpolation.","archived":false,"fork":false,"pushed_at":"2024-02-08T14:35:32.000Z","size":35,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-12-25T18:30:28.597Z","etag":null,"topics":["exterpolation","extrapolation","interpolation","lerp","prediction"],"latest_commit_sha":null,"homepage":"","language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"unlicense","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/realazthat.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-02-05T16:26:27.000Z","updated_at":"2024-02-05T18:32:41.000Z","dependencies_parsed_at":"2024-10-20T00:12:06.531Z","dependency_job_id":"5d5ac657-0671-45ca-b245-9333b9d1a3cc","html_url":"https://github.com/realazthat/exterpolation","commit_stats":null,"previous_names":["realazthat/exterpolation"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/realazthat/exterpolation","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/realazthat%2Fexterpolation","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/realazthat%2Fexterpolation/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/realazthat%2Fexterpolation/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/realazthat%2Fexterpolation/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/realazthat","download_url":"https://codeload.github.com/realazthat/exterpolation/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/realazthat%2Fexterpolation/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":30570295,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-03-16T06:02:37.763Z","status":"ssl_error","status_checked_at":"2026-03-16T06:02:14.913Z","response_time":96,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.5:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["exterpolation","extrapolation","interpolation","lerp","prediction"],"created_at":"2024-10-17T20:03:31.326Z","updated_at":"2026-03-16T06:11:14.180Z","avatar_url":"https://github.com/realazthat.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"# Exterpolation\n\n\nI hereby define the term **_Exterpolation_**.\n\n_Exterpolation_: The generalization of \"[interpolation](https://en.wikipedia.org/wiki/Linear_interpolation)\" and \"[extrapolation](https://en.wikipedia.org/wiki/Extrapolation)\". _Exterpolation_ unifies both meanings - which share identical equations, but over different domains - to also share identical domains. For example, both linear interpolation and extrapolation can use the \"[lerp](https://en.wikipedia.org/wiki/Linear_interpolation#Programming_language_support)\" algorithm, but when $0 \\le t \\le 1$ it is called \"interpolation\" and otherwise \"extrapolation\". _Exterpolation_ lets you refer to both at once, for any $t$.\n\n---\n\nFrom: [wiki/Extrapolation#Linear](https://en.wikipedia.org/wiki/Extrapolation#Linear)\n\n\u003e If the two data points nearest the point $x_*$ to be extrapolated are $(x_{k-1},y_{k-1})$ and $(x_k, y_k)$, linear extrapolation gives the function:\n\u003e\n\u003e $y(x\\_\\*) = y\\_{k-1} + \\frac{x\\_\\* - x\\_{k-1}}{x_{k}-x\\_{k-1}}(y_{k} - y_{k-1}).$\n\u003e\n\u003e (which is identical to [linear interpolation](https://en.wikipedia.org/wiki/Linear_interpolation) if $x_{k-1} \u003c x_* \u003c x_k$)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Frealazthat%2Fexterpolation","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Frealazthat%2Fexterpolation","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Frealazthat%2Fexterpolation/lists"}