29:null 2a:["$","title",null,{"children":"Parametric Sigmoids | Daniel Gamage | Observable"}] 2f:T4ff,html`

${fn}`)}

`30:[] 2d:{"id":"fe8cf32405d13e0d","slug":"sigmoids-and-transformations","title":"Parametric Sigmoids","thumbnail":"53a2969b75e2711c6093ba5f79f384603b42fe0d3598797ea551ec82086f2031","access_level":"public","create_time":"$D2021-03-07T03:02:53.567Z","update_time":"$D2021-03-08T00:37:51.970Z","view_time":null,"first_public_time":"$D2021-03-07T21:15:49.437Z","has_unpublished_edits":null,"fork":false,"stars":0,"starred":false,"owner":{"type":"team","id":"90e6c6f93f7e192d","login":"danielgamage","name":"Daniel Gamage","avatar_url":"https://avatars-next.observableusercontent.com/0b5b0c262ef36153251318b683161ec9f9282e3906a635688c9c54cdab053794","tier":"starter_2024"},"version":269,"publish_version":269,"role":null,"authored":false,"authors":[{"type":"individual","id":"4f703014d88d7078","login":"danielgamage","name":"Daniel Gamage","avatar_url":"https://avatars-next.observableusercontent.com/0b5b0c262ef36153251318b683161ec9f9282e3906a635688c9c54cdab053794","tier":null}],"members":[{"type":"individual","id":"4f703014d88d7078","login":"danielgamage","name":"Daniel Gamage","avatar_url":"https://avatars-next.observableusercontent.com/0b5b0c262ef36153251318b683161ec9f9282e3906a635688c9c54cdab053794","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"Parametric Sigmoids","cells":[{"id":0,"value":"md`# Parametric Sigmoids`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"d3 = require('d3')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"import { slider } from '@jashkenas/inputs'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":29,"value":"resolution = 256","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":27,"value":"points = d3.range(0, resolution * 2).map(i => [i - resolution, (i - resolution) / resolution])","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":54,"value":"cosine = (x,amt) => (Math.sin(x * amt))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":131,"value":"functions = ({\n exponential: (x,amt) => (Math.sign(x) * Math.pow(Math.abs(x), 1 / Math.pow(amt + 1.01, 4))),\n sigmoid: (x,amt) => (1 / (1 + Math.pow(Math.e, -1 * x * amt))),\n sine: (x,amt) => (Math.sin(x * amt)),\n log: (x,amt) => (Math.sign(x) * Math.log(Math.abs(x * amt) + 1)),\n tanh: (x,amt) => (Math.tanh(x * amt)),\n parametric: (x, amt) => {\n amt = amt * -0.99\n return (x - x * amt) /\n (amt - Math.abs(x) * 2.0 * amt + 1.0)\n }\n})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":90,"value":"generateD = (points, fn, amt) => {\n const plotX = d3.scaleLinear().domain([-1 * resolution, resolution]).range([0, 1])\n const plotY = d3.scaleLinear().domain([-1, 1]).range([1, 0])\n \n points = points.map(([x, y]) => `${plotX(x)},${plotY(fn(y, amt))}`)\n return `M${points.join(`L`)}`\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":94,"value":"viewof amount = slider({\n min: -1,\n max: 1,\n precision: 2,\n title: 'Amount'\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":199,"value":"list = Object.keys(functions)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"$2f","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2e:"$2d:body"