log scale

common/numeric.ts

@@ -1,10 +0,0 @@
-import { PseudoNumericContract } from './contract'
-
-export function formatNumericProbability(
-  p: number,
-  contract: PseudoNumericContract
-) {
-  const { min, max } = contract
-  const value = p * (max - min) + min
-  return Math.round(value).toString()
-}

common/pseudo-numeric.ts

@@ -0,0 +1,45 @@
+import { BinaryContract, PseudoNumericContract } from './contract'
+import { formatLargeNumber, formatPercent } from './util/format'
+
+export function formatNumericProbability(
+  p: number,
+  contract: PseudoNumericContract
+) {
+  const value = getMappedValue(contract)(p)
+  return formatLargeNumber(value)
+}
+
+export const getMappedValue =
+  (contract: PseudoNumericContract | BinaryContract) => (p: number) => {
+    if (contract.outcomeType === 'BINARY') return p
+
+    const { min, max, isLogScale } = contract
+
+    if (isLogScale) {
+      const logValue = p * Math.log10(max - min)
+      return 10 ** logValue + min 
+    }
+
+    return p * (max - min) + min
+  }
+
+export const getFormattedMappedValue =
+  (contract: PseudoNumericContract | BinaryContract) => (p: number) => {
+    if (contract.outcomeType === 'BINARY') return formatPercent(p)
+
+    const value = getMappedValue(contract)(p)
+    return formatLargeNumber(value)
+  }
+
+export const getPseudoProbability = (
+  value: number,
+  min: number,
+  max: number,
+  isLogScale = false
+) => {
+  if (isLogScale) {
+    return Math.log10(value - min) / Math.log10(max - min)
+  }
+
+  return (value - min) / (max - min)
+}

functions/src/create-contract.ts

@@ -28,6 +28,7 @@ import { getNewContract } from '../../common/new-contract'
 import { NUMERIC_BUCKET_COUNT } from '../../common/numeric-constants'
 import { User } from '../../common/user'
 import { Group, MAX_ID_LENGTH } from '../../common/group'
+import { getPseudoProbability } from '../../common/pseudo-numeric'
 
 const bodySchema = z.object({
   question: z.string().min(1).max(MAX_QUESTION_LENGTH),
@@ -67,7 +68,7 @@ export const createmarket = newEndpoint(['POST'], async (req, auth) => {
     if (max - min <= 0.01 || initialValue < min || initialValue > max)
       throw new APIError(400, 'Invalid range.')
 
-    initialProb = ((initialValue - min) / (max - min)) * 100
+    initialProb = getPseudoProbability(initialValue, min, max, isLogScale) * 100
   }
   if (outcomeType === 'BINARY') {
     ;({ initialProb } = validate(binarySchema, req.body))

functions/src/emails.ts

@@ -6,9 +6,13 @@ import { Comment } from '../../common/comment'
 import { Contract } from '../../common/contract'
 import { DPM_CREATOR_FEE } from '../../common/fees'
 import { PrivateUser, User } from '../../common/user'
-import { formatMoney, formatPercent } from '../../common/util/format'
+import {
+  formatLargeNumber,
+  formatMoney,
+  formatPercent,
+} from '../../common/util/format'
 import { getValueFromBucket } from '../../common/calculate-dpm'
-import { formatNumericProbability } from '../../common/numeric'
+import { formatNumericProbability } from '../../common/pseudo-numeric'
 
 import { sendTemplateEmail } from './send-email'
 import { getPrivateUser, getUser } from './utils'
@@ -103,13 +107,14 @@ const toDisplayResolution = (
   }
 
   if (contract.outcomeType === 'PSEUDO_NUMERIC') {
-    return (
+    const { resolutionValue } = contract
-      contract.resolutionValue?.toString() ??
+
-      formatNumericProbability(
+    return resolutionValue
+      ? formatLargeNumber(resolutionValue)
+      : formatNumericProbability(
           resolutionProbability ?? getProbability(contract),
           contract
         )
-    )
   }
 
   if (resolution === 'MKT' && resolutions) return 'MULTI'

web/components/bet-panel.tsx

@@ -39,6 +39,7 @@ import {
   getCpmmProbability,
   getCpmmLiquidityFee,
 } from 'common/calculate-cpmm'
+import { getFormattedMappedValue } from 'common/pseudo-numeric'
 import { SellRow } from './sell-row'
 import { useSaveShares } from './use-save-shares'
 import { SignUpPrompt } from './sign-up-prompt'
@@ -314,10 +315,7 @@ function BuyPanel(props: {
         )} ${betChoice ?? 'YES'} shares`
       : undefined
 
-  const format = isPseudoNumeric
+  const format = getFormattedMappedValue(contract)
-    ? (p: number) =>
-        Math.round(p * (contract.max - contract.min) + contract.min).toString()
-    : (p: number) => formatPercent(p)
 
   return (
     <>
@@ -512,10 +510,7 @@ export function SellPanel(props: {
 
   const { outcomeType } = contract
   const isPseudoNumeric = outcomeType === 'PSEUDO_NUMERIC'
-  const format = isPseudoNumeric
+  const format = getFormattedMappedValue(contract)
-    ? (p: number) =>
-        Math.round(p * (contract.max - contract.min) + contract.min).toString()
-    : (p: number) => formatPercent(p)
 
   return (
     <>

web/components/contract/contract-card.tsx

@@ -29,7 +29,7 @@ import { useContractWithPreload } from 'web/hooks/use-contract'
 import { useUser } from 'web/hooks/use-user'
 import { track } from '@amplitude/analytics-browser'
 import { trackCallback } from 'web/lib/service/analytics'
-import { formatNumericProbability } from 'common/numeric'
+import { formatNumericProbability } from 'common/pseudo-numeric'
 
 export function ContractCard(props: {
   contract: Contract
@@ -283,7 +283,9 @@ export function NumericResolutionOrExpectation(props: {
           {resolution === 'CANCEL' ? (
             <CancelLabel />
           ) : (
-            <div className="text-blue-400">{resolutionValue}</div>
+            <div className="text-blue-400">
+              {formatLargeNumber(resolutionValue)}
+            </div>
           )}
         </>
       ) : (
@@ -316,8 +318,12 @@ export function PseudoNumericResolutionOrExpectation(props: {
             <CancelLabel />
           ) : (
             <div className="text-blue-400">
-              {resolutionValue ??
+              {resolutionValue
-                formatNumericProbability(resolutionProbability ?? 0, contract)}
+                ? formatLargeNumber(resolutionValue)
+                : formatNumericProbability(
+                    resolutionProbability ?? 0,
+                    contract
+                  )}
             </div>
           )}
         </>

web/components/contract/contract-prob-graph.tsx

@@ -7,6 +7,7 @@ import { Bet } from 'common/bet'
 import { getInitialProbability } from 'common/calculate'
 import { BinaryContract, PseudoNumericContract } from 'common/contract'
 import { useWindowSize } from 'web/hooks/use-window-size'
+import { getMappedValue } from 'common/pseudo-numeric'
 
 export const ContractProbGraph = memo(function ContractProbGraph(props: {
   contract: BinaryContract | PseudoNumericContract
@@ -26,10 +27,7 @@ export const ContractProbGraph = memo(function ContractProbGraph(props: {
     ...bets.map((bet) => bet.createdTime),
   ].map((time) => new Date(time))
 
-  const f =
+  const f = getMappedValue(contract)
-    contract.outcomeType === 'PSEUDO_NUMERIC'
-      ? (p: number) => (p * (contract.max - contract.min) + contract.min) / 100
-      : (p: number) => p
 
   const probs = [startProb, ...bets.map((bet) => bet.probAfter)].map(f)
 
@@ -46,9 +44,11 @@ export const ContractProbGraph = memo(function ContractProbGraph(props: {
   times.push(latestTime.toDate())
   probs.push(probs[probs.length - 1])
 
+  const quartiles = [0, 25, 50, 75, 100]
+
   const yTickValues = isBinary
-    ? [0, 25, 50, 75, 100]
+    ? quartiles
-    : [0, 0.25, 0.5, 0.75, 1].map(f).map((x) => x * 100)
+    : quartiles.map((x) => x / 100).map(f)
 
   const { width } = useWindowSize()
 
@@ -64,9 +64,12 @@ export const ContractProbGraph = memo(function ContractProbGraph(props: {
   const totalPoints = width ? (width > 800 ? 300 : 50) : 1
 
   const timeStep: number = latestTime.diff(startDate, 'ms') / totalPoints
+
   const points: { x: Date; y: number }[] = []
+  const s = isBinary ? 100 : 1
+
   for (let i = 0; i < times.length - 1; i++) {
-    points[points.length] = { x: times[i], y: probs[i] * 100 }
+    points[points.length] = { x: times[i], y: s * probs[i] }
     const numPoints: number = Math.floor(
       dayjs(times[i + 1]).diff(dayjs(times[i]), 'ms') / timeStep
     )
@@ -78,7 +81,7 @@ export const ContractProbGraph = memo(function ContractProbGraph(props: {
           x: dayjs(times[i])
             .add(thisTimeStep * n, 'ms')
             .toDate(),
-          y: probs[i] * 100,
+          y: s * probs[i],
         }
       }
     }
@@ -103,7 +106,11 @@ export const ContractProbGraph = memo(function ContractProbGraph(props: {
         yScale={
           isBinary
             ? { min: 0, max: 100, type: 'linear' }
-            : { min: contract.min, max: contract.max, type: 'linear' }
+            : {
+                min: contract.min,
+                max: contract.max,
+                type: contract.isLogScale ? 'log' : 'linear',
+              }
         }
         yFormat={formatter}
         gridYValues={yTickValues}

web/components/contract/quick-bet.tsx

@@ -26,7 +26,7 @@ import { useSaveShares } from '../use-save-shares'
 import { sellShares } from 'web/lib/firebase/api-call'
 import { calculateCpmmSale, getCpmmProbability } from 'common/calculate-cpmm'
 import { track } from 'web/lib/service/analytics'
-import { formatNumericProbability } from 'common/numeric'
+import { formatNumericProbability } from 'common/pseudo-numeric'
 
 const BET_SIZE = 10
 

web/components/numeric-resolution-panel.tsx

@@ -9,6 +9,7 @@ import { ResolveConfirmationButton } from './confirmation-button'
 import { resolveMarket } from 'web/lib/firebase/fn-call'
 import { NumericContract, PseudoNumericContract } from 'common/contract'
 import { BucketInput } from './bucket-input'
+import { getPseudoProbability } from 'common/pseudo-numeric'
 
 export function NumericResolutionPanel(props: {
   creator: User
@@ -44,7 +45,15 @@ export function NumericResolutionPanel(props: {
     setIsSubmitting(true)
 
     const boundedValue = Math.max(Math.min(max, value ?? 0), min)
-    const probabilityInt = ((boundedValue - min) / (max - min)) * 100
+
+    const probabilityInt =
+      100 *
+      getPseudoProbability(
+        boundedValue,
+        min,
+        max,
+        outcomeType === 'PSEUDO_NUMERIC' && contract.isLogScale
+      )
 
     const result = await resolveMarket({
       outcome: finalOutcome,