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import { useMemo } from 'react'
import type { SessionPart, SlotResult } from '@/db/schema/session-plans'
// ============================================================================
// Constants
// ============================================================================
/** Minimum samples needed for reliable statistical estimates */
export const MIN_SAMPLES_FOR_STATS = 5
/** Default time per problem in ms when not enough data (10 seconds) */
export const DEFAULT_TIME_PER_PROBLEM_MS = 10_000
// ============================================================================
// Types
// ============================================================================
export interface TimingStats {
/** Mean response time in milliseconds */
mean: number
/** Standard deviation of response times */
stdDev: number
/** Number of samples used */
count: number
/** Whether we have enough data for reliable estimates */
hasEnoughData: boolean
/** Auto-pause threshold in milliseconds */
threshold: number
}
export interface SessionTimeEstimate {
/** Timing statistics from results */
timingStats: TimingStats
/** Number of problems remaining */
problemsRemaining: number
/** Total problems in session */
totalProblems: number
/** Number of completed problems */
completedProblems: number
/** Estimated time remaining in milliseconds */
estimatedTimeRemainingMs: number
/** Formatted estimated time remaining (e.g., "~5 min") */
estimatedTimeRemainingFormatted: string
}
// ============================================================================
// Helper Functions
// ============================================================================
/**
* Calculate mean and standard deviation from an array of numbers
*/
function calculateStats(times: number[]): {
mean: number
stdDev: number
count: number
} {
const count = times.length
if (count === 0) return { mean: 0, stdDev: 0, count: 0 }
const mean = times.reduce((sum, t) => sum + t, 0) / count
if (count < 2) return { mean, stdDev: 0, count }
const variance = times.reduce((sum, t) => sum + (t - mean) ** 2, 0) / (count - 1)
const stdDev = Math.sqrt(variance)
return { mean, stdDev, count }
}
/**
* Calculate timing stats from session results
*
* Can optionally filter by part type for more accurate estimates
* when the student is working on a specific part.
*/
export function calculateTimingStats(
results: SlotResult[],
parts?: SessionPart[],
currentPartType?: SessionPart['type']
): TimingStats {
let times: number[]
if (currentPartType && parts) {
// Filter results by part type for current-part-specific estimates
times = results
.filter((r) => {
const partIndex = parts.findIndex((p) => p.partNumber === r.partNumber)
return partIndex >= 0 && parts[partIndex].type === currentPartType
})
.map((r) => r.responseTimeMs)
} else {
// Use all results
times = results.map((r) => r.responseTimeMs)
}
const stats = calculateStats(times)
const hasEnoughData = stats.count >= MIN_SAMPLES_FOR_STATS
// Calculate auto-pause threshold: mean + 2*stdDev, clamped between 30s and 5min
const threshold = hasEnoughData
? Math.max(30_000, Math.min(stats.mean + 2 * stats.stdDev, 5 * 60 * 1000))
: 60_000 // Default 1 minute when not enough data
return {
...stats,
hasEnoughData,
threshold,
}
}
/**
* Format estimated time remaining as human-readable string
*/
export function formatEstimatedTimeRemaining(ms: number): string {
const minutes = Math.round(ms / 60_000)
if (minutes < 1) return '< 1 min'
if (minutes === 1) return '~1 min'
return `~${minutes} min`
}
/**
* Calculate estimated time remaining in milliseconds
*/
export function calculateEstimatedTimeRemainingMs(
timingStats: TimingStats,
problemsRemaining: number
): number {
const timePerProblem = timingStats.hasEnoughData ? timingStats.mean : DEFAULT_TIME_PER_PROBLEM_MS
return timePerProblem * problemsRemaining
}
// ============================================================================
// Hook
// ============================================================================
export interface UseSessionTimeEstimateOptions {
/** Session results array */
results: SlotResult[]
/** Session parts array */
parts: SessionPart[]
/** Optional: current part type to filter stats by (for more accurate current-part estimates) */
currentPartType?: SessionPart['type']
}
/**
* Hook to calculate session time estimates
*
* Provides timing statistics and estimated time remaining based on
* the student's response times during the session.
*
* @example
* ```tsx
* const estimate = useSessionTimeEstimate({
* results: session.results,
* parts: session.parts,
* })
*
* return <span>{estimate.estimatedTimeRemainingFormatted} left</span>
* ```
*/
export function useSessionTimeEstimate({
results,
parts,
currentPartType,
}: UseSessionTimeEstimateOptions): SessionTimeEstimate {
return useMemo(() => {
// Calculate total and completed problems
const totalProblems = parts.reduce((sum, p) => sum + (p.slots?.length ?? 0), 0)
const completedProblems = results.length
const problemsRemaining = totalProblems - completedProblems
// Calculate timing stats
const timingStats = calculateTimingStats(results, parts, currentPartType)
// Calculate estimated time remaining
const estimatedTimeRemainingMs = calculateEstimatedTimeRemainingMs(
timingStats,
problemsRemaining
)
return {
timingStats,
problemsRemaining,
totalProblems,
completedProblems,
estimatedTimeRemainingMs,
estimatedTimeRemainingFormatted: formatEstimatedTimeRemaining(estimatedTimeRemainingMs),
}
}, [results, parts, currentPartType])
}
/**
* Standalone function version for use outside React components
*
* Useful for computing time estimates from raw session data without hooks.
*/
export function getSessionTimeEstimate(
results: SlotResult[],
parts: SessionPart[],
currentPartType?: SessionPart['type']
): SessionTimeEstimate {
const totalProblems = parts.reduce((sum, p) => sum + (p.slots?.length ?? 0), 0)
const completedProblems = results.length
const problemsRemaining = totalProblems - completedProblems
const timingStats = calculateTimingStats(results, parts, currentPartType)
const estimatedTimeRemainingMs = calculateEstimatedTimeRemainingMs(timingStats, problemsRemaining)
return {
timingStats,
problemsRemaining,
totalProblems,
completedProblems,
estimatedTimeRemainingMs,
estimatedTimeRemainingFormatted: formatEstimatedTimeRemaining(estimatedTimeRemainingMs),
}
}
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