31:[] 2f:{"title":"Balanced distribution sketch","cells":[{"id":0,"value":"md`# Balanced distribution sketch`","pinned":false,"hidden":false,"mode":"ojs"},{"id":10,"value":"function balanced(currentCred /*: Distribution */, paidToDate /*: Distribution */) /*: Distribution */ {\n return normalize(\n pointwise(([cc, ptd]) => cc * sigmoid(k * -Math.log(safeDivide(ptd, cc))))(zip(currentCred, paidToDate))\n );\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":99,"value":"viewof k = {\n const desc = html`\n

k, effect size parameter

0.0 only looks at current cred; +∞ only looks at underpayment.

\n `;\n return oneSlider(desc);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":184,"value":"md`\nPlay around with input/output distributions. Try different combinations\nof contributors with lots/little cred who are over/underpaid.\n`","pinned":false,"hidden":false,"mode":"ojs"},{"id":247,"value":"viewof nParticipants = {\n const desc = html`\n

Number of participants

\n `;\n const form = html`${desc}`;\n form.oninput = () => {\n const k = form.querySelector(\"input\").valueAsNumber;\n form.querySelector(\"span[data-target]\").innerText = k;\n form.value = k;\n };\n form.oninput();\n return form;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":66,"value":"viewof currentCred = {\n const def = [0.15, 0.15, 0.35, 0.35].concat(Array(nParticipants).fill(0.2)).slice(0, nParticipants);\n return sliders(\"Current cred (input distribution)\", def);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":68,"value":"viewof paidToDate = {\n const def = [0.3, 0.05, 0.5, 0.15].concat(Array(nParticipants).fill(0.2)).slice(0, nParticipants);\n return sliders(\"Paid to date (input distribution)\", def);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":106,"value":"{\n const form = html`

Balanced payments (output distribution)

`;\n for (const p of balancedPayments) {\n form.appendChild(html`

${p.toFixed(3)}

`);\n }\n return form;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":80,"value":"balancedPayments = balanced(currentCred, paidToDate)","pinned":false,"hidden":false,"mode":"ojs"},{"id":205,"value":"md`## Helpers`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4,"value":"function sigmoid(z) {\n return 1 / (1 + Math.exp(-z));\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":138,"value":"html`

σ(${z}) = ${sigmoid(z).toFixed(2)}

`;","pinned":false,"hidden":false,"mode":"ojs"},{"id":14,"value":"function zip(d1, d2) {\n if (d1.length !== d2.length) throw new Error(\"length mismatch\");\n return d1.map((z1, i) => [z1, d2[i]]);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":11,"value":"function pointwise(f) {\n return (distribution) => distribution.map((z) => f(z));\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":21,"value":"function normalize(d) {\n let total = 0.0;\n for (const i of d) {\n total += i;\n }\n return d.map((z) => z / total);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":284,"value":"function clamp(lb, ub) {\n return (z) => Math.min(ub, Math.max(lb, z));\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":231,"value":"function safeDivide(x, y) {\n return y === 0 ? 0 : x / y;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":300,"value":"function actualPow(base, exp) {\n // Like `Math.pow`, but fixes an IEEE 754 compliance issue in JavaScript.\n if (base === 1.0) {\n return 1.0; // even if `exp` is NaN or infinite\n }\n return Math.pow(base, exp);\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":44,"value":"function sliders(name, defaults) {\n const form = html`

${name}

`;\n const max = 1000;\n defaults.forEach((v, i) => {\n const slider = html``;\n form.appendChild(html`

${slider} ${i}

`);\n });\n form.oninput = () => {\n const d = normalize([...form.querySelectorAll(\"input\")].map((x) => x.valueAsNumber / max));\n for (const [span, p] of zip(Array.from(form.querySelectorAll(\"span\")), d)) {\n span.innerText = p.toFixed(3);\n }\n form.value = d;\n };\n form.oninput();\n return form;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":272,"value":"// Slider for a ratio-space value.\nfunction oneSlider(desc) {\n const form = html`${desc}`;\n form.oninput = () => {\n const z = form.querySelector(\"input\").valueAsNumber;\n form.querySelector(\"span[data-target]\").innerText = z.toFixed(2);\n form.value = z;\n };\n form.oninput();\n return form;\n}\n ","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W31","stdlib":"1","titling":"auto"}