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Dominic Ferrando
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import { activities, Activity, Attribute, attributes, BenchmarkPerformance, findNearestPoints, Gender, getActivityAttribute, kgToLb, Levels, msToTime, StandardsItem } from "./util";
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import rawStandards from "./data/standards.json" assert { type: "json" }
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const standards = rawStandards as StandardsItem[];
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// SOURCES
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// Squat, Bench, Dead Lift:
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// http://lonkilgore.com/resources/Lon_Kilgore_Strength_Standard_Tables-Copyright-2023.pdf
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// 1 mile run:
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// https://runninglevel.com/running-times/1-mile-times
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// Dash:
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// https://marathonhandbook.com/average-100-meter-time/
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// Broad Jump:
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//
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// -------------------------------------------------------------------------------------------------
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// Level calculations
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// -------------------------------------------------------------------------------------------------
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export const calcBenchmarkLevel = (performance: number, levels: Record<number, number>): number => {
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let playerLevel = 1;
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let playerLevelDiff = Infinity;
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for (const level in levels) {
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const diff = Math.abs(performance - levels[level as unknown as number]);
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if (diff < playerLevelDiff) {
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playerLevel = +level;
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playerLevelDiff = diff;
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}
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}
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return playerLevel;
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};
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export const calcAttributeLevel = (
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attribute: Attribute,
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benchmarkPerformances: BenchmarkPerformance[],
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): number => {
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if (benchmarkPerformances.some((bp) => getActivityAttribute(bp.activity) !== attribute)) {
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throw new Error("Wrong benchmark performance attribute");
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}
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const benchmarkLevels = benchmarkPerformances.map((abp) =>
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calcBenchmarkLevel(abp.performance, abp.levels),
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);
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const benchmarkLevelsAvg = Math.round(
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benchmarkLevels.reduce((sum, curr) => sum + curr, 0) / benchmarkLevels.length,
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);
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return benchmarkLevelsAvg;
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};
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export const calcAttributeLevels = (
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benchmarkPerformances: BenchmarkPerformance[],
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): Record<Attribute, number> => {
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const attrLevels: Record<Attribute, number> = {
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[attributes.STRENGTH]: 1,
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[attributes.POWER]: 1,
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[attributes.ENDURANCE]: 1,
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[attributes.SPEED]: 1,
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[attributes.AGILITY]: 1,
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} as const;
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(Object.values(attributes) as Attribute[]).forEach((attribute) => {
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const attrBenchmarkPerformances = benchmarkPerformances.filter(
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(bp) => getActivityAttribute(bp.activity) === attribute,
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);
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attrLevels[attribute] = calcAttributeLevel(attribute, attrBenchmarkPerformances);
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});
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return attrLevels;
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};
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export const calcPlayerLevel = (benchmarkPerformances: BenchmarkPerformance[]): number => {
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const attrLevels = calcAttributeLevels(benchmarkPerformances);
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const attrLevelsSum = Object.values(attrLevels).reduce((sum, lvl) => sum + lvl, 0);
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return Math.round(attrLevelsSum / Object.keys(attributes).length);
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};
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// -------------------------------------------------------------------------------------------------
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// Presentation helpers
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// -------------------------------------------------------------------------------------------------
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export const formatLevelValues = (
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levels: Record<number, number>,
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activity: Activity,
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): Record<number, string> => {
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const timedActivities: Activity[] = [activities.RUN, activities.DASH, activities.CONE_DRILL];
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const formattedLevels: Record<number, string> = {};
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for (const level in levels) {
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const lvl = +level as number;
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let displayValue = "";
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if (timedActivities.includes(activity)) {
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displayValue = msToTime(levels[lvl]);
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} else if (activity === activities.TREADMILL_DASH) {
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displayValue = `${(levels[lvl] * 1000).toFixed(2)} m/s`;
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} else if (activity === activities.BROAD_JUMP) {
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displayValue = `${(levels[lvl] * 0.0328084).toFixed(2)} ft.`;
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} else {
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displayValue = kgToLb(levels[lvl]).toFixed(0);
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}
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formattedLevels[lvl] = displayValue;
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}
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return formattedLevels;
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};
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// -------------------------------------------------------------------------------------------------
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// Level utilities
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// -------------------------------------------------------------------------------------------------
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const compressLevels = (
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levels: Record<number, number>,
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targetLevelsAmount: number,
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): Record<number, number> => {
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const levelsAmount = Object.keys(levels).length;
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if (levelsAmount < targetLevelsAmount) {
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throw new Error(
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"Target levels amount must be greater than or equal to the current levels amount",
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);
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}
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const ratio = levelsAmount / targetLevelsAmount;
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const compressedLevels: Record<number, number> = {};
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for (let i = 0; i < targetLevelsAmount; ++i) {
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const ratioIndex = i * ratio;
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const lowerIndex = Math.floor(ratioIndex);
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const upperIndex = Math.ceil(ratioIndex);
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const lowerValue = levels[lowerIndex + 1];
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const upperValue = levels[upperIndex + 1];
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const weight = ratioIndex - lowerIndex;
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compressedLevels[i + 1] = lowerValue + (upperValue - lowerValue) * weight;
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}
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return compressedLevels;
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};
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const expandLevels = (
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levels: Levels | Record<number, number>,
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i: number
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): Record<number, number> => {
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if (i == 0) {
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// ensure we always use number keys
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const newLevels = {};
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for (let k = 0; k < Object.keys(levels).length; ++k) {
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newLevels[k + 1] = levels[Object.keys(levels)[k]];
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}
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return newLevels;
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};
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const newLevels = {};
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let j = 1;
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for (let k = 0; k < Object.keys(levels).length; ++k) {
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const currLevel = Object.keys(levels)[k];
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const nextLevel = Object.keys(levels)[k + 1];
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newLevels[j++] = levels[currLevel];
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if (nextLevel) {
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newLevels[j++] = (levels[currLevel] + levels[nextLevel]) / 2;
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}
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}
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return expandLevels(newLevels, i - 1);
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}
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// -------------------------------------------------------------------------------------------------
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// Main level function
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// -------------------------------------------------------------------------------------------------
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export const computeLevels = (
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age: number,
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weightKG: number,
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gender: Gender,
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activity: Activity,
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) => {
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const levels = calculateLevels(age, weightKG, gender, activity, standards);
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if (levels) {
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const expandedLevels = expandLevels(levels, 5);
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const compressedLevels = compressLevels(expandedLevels, 100);
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return compressedLevels;
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} else {
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return {};
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}
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}
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// -------------------------------------------------------------------------------------------------
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// Standards interpolation (heavy math bits)
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// -------------------------------------------------------------------------------------------------
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const calculateLevels = (
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age: number,
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weightKG: number,
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gender: Gender,
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activity: Activity,
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standards: StandardsItem[],
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): Levels | null => {
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// Filter dataset
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const filtered = standards.filter(
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(item) => item.gender === gender && item.activityType === activity,
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);
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if (filtered.length === 0) return null;
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// Age interpolation
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const ageArray = [...new Set(filtered.map((s) => s.age))].sort((a, b) => a - b);
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const { lower: ageLower, upper: ageUpper } = findNearestPoints(age, ageArray);
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const lowerValues = interpolateByBodyWeight(ageLower, weightKG, filtered);
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const upperValues = interpolateByBodyWeight(ageUpper, weightKG, filtered);
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if (!lowerValues || !upperValues) return null;
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let ageRatio = ageUpper === ageLower ? 1 : (age - ageLower) / (ageUpper - ageLower);
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ageRatio = Math.max(0, Math.min(1, ageRatio));
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return interpolateStandardsValues(lowerValues, upperValues, ageRatio);
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};
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const interpolateByBodyWeight = (
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agePoint: number,
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bodyWeightKG: number,
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filtered: StandardsItem[],
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): Levels | null => {
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const ageFiltered = filtered.filter((item) => item.age === agePoint);
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if (ageFiltered[0].bodyWeight === -1) return ageFiltered[0];
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const weightArray = [...new Set(ageFiltered.map((obj) => obj.bodyWeight))].sort((a, b) => a - b);
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const { lower, upper } = findNearestPoints(bodyWeightKG, weightArray);
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const weightLower = ageFiltered.find((i) => i.bodyWeight === lower);
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const weightUpper = ageFiltered.find((i) => i.bodyWeight === upper);
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if (!weightLower || !weightUpper) return null;
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let weightRatio = upper === lower ? 1 : (bodyWeightKG - lower) / (upper - lower);
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weightRatio = Math.max(0, Math.min(1, weightRatio));
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return interpolateStandardsValues(weightLower, weightUpper, weightRatio);
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};
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const interpolateStandardsValues = (
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lower: Levels,
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upper: Levels,
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ratio: number,
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): Levels => {
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const lerp = (k: keyof Levels): number =>
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(lower[k] as number) + ((upper[k] as number) - (lower[k] as number)) * ratio;
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return {
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physicallyActive: lerp("physicallyActive"),
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beginner: lerp("beginner"),
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intermediate: lerp("intermediate"),
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advanced: lerp("advanced"),
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elite: lerp("elite"),
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};
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};
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