Teknikal na Sanggunian at mga Formula
Kumpletong Mathematical na Implementasyon
Gabay sa Implementasyon
Ang pahinang ito ay nagbibigay ng mga copy-paste na formula at step-by-step na mga paraan ng kalkulasyon para sa lahat ng mga sukatan ng Swim Analytics. Gamitin ang mga ito para sa mga custom na implementasyon, beripikasyon, o mas malalim na pag-unawa.
⚠️ Mga Paalala sa Implementasyon
- Ang lahat ng oras ay dapat i-convert sa segundo para sa mga kalkulasyon
- Ang pacing sa paglangoy ay pabaligtad (mas mataas na % = mas mabagal na pace)
- Palaging i-validate ang mga input para sa mga makatwirang saklaw (ranges)
- Pangasiwaan ang mga edge case (dibisyon sa zero, mga negatibong halaga)
Mga Pangunahing Sukatan ng Pagganap
Critical Swim Speed (CSS)
Formula:
🧪 Interactive na Calculator - I-test ang Formula
CSS (m/s) = (400 - 200) / (368 - 150) = 0.917 m/s
Pace/100m = 100 / 0.917 = 109 segundo = 1:49
JavaScript na Implementasyon:
function calculateCSS(distance1, time1, distance2, time2) {
// I-convert ang mga oras sa segundo kung kinakailangan
const t1 = typeof time1 === 'string' ? timeToSeconds(time1) : time1;
const t2 = typeof time2 === 'string' ? timeToSeconds(time2) : time2;
// Kalkulahin ang CSS sa m/s
const css_ms = (distance2 - distance1) / (t2 - t1);
// Kalkulahin ang pace bawat 100m sa segundo
const pace_per_100m = 100 / css_ms;
// I-convert sa mm:ss na format
const minutes = Math.floor(pace_per_100m / 60);
const seconds = Math.round(pace_per_100m % 60);
return {
css_ms: css_ms,
pace_seconds: pace_per_100m,
pace_formatted: `${minutes}:${seconds.toString().padStart(2, '0')}`
};
}
// Halimbawa ng paggamit:
const result = calculateCSS(200, 150, 400, 368);
// Nagbabalik ng: { css_ms: 0.917, pace_seconds: 109, pace_formatted: "1:49" }
Swim Training Stress Score (sTSS)
Kumpletong Formula:
🧪 Interactive na Calculator - I-test ang Formula
NSS = 3000m / 55min = 54.5 m/min
FTP = 100 / (93/60) = 64.5 m/min
IF = 54.5 / 64.5 = 0.845
sTSS = 0.845³ × (55/60) × 100 = 55
JavaScript na Implementasyon:
function calculateSTSS(distance, timeMinutes, ftpMetersPerMin) {
// Kalkulahin ang Normalized Swim Speed
const nss = distance / timeMinutes;
// Kalkulahin ang Intensity Factor
const intensityFactor = nss / ftpMetersPerMin;
// Kalkulahin ang oras (hours)
const hours = timeMinutes / 60;
// Kalkulahin ang sTSS gamit ang cubed intensity factor
const stss = Math.pow(intensityFactor, 3) * hours * 100;
return Math.round(stss);
}
// Halimbawa ng paggamit:
const stss = calculateSTSS(3000, 55, 64.5);
// Nagbabalik ng: 55
// Helper: I-convert ang CSS sa FTP
function cssToFTP(cssPacePer100mSeconds) {
// FTP sa m/min = 100m / (pace sa minuto)
return 100 / (cssPacePer100mSeconds / 60);
}
// Halimbawa: CSS na 1:33 (93 segundo)
const ftp = cssToFTP(93); // Nagbabalik ng: 64.5 m/min
SWOLF
Formula:
🧪 Interactive na Calculator - I-test ang Formula
SWOLF = 20s + 15 stroke = 35
JavaScript na Implementasyon:
function calculateSWOLF(timeSeconds, strokeCount) {
return timeSeconds + strokeCount;
}
function calculateNormalizedSWOLF(timeSeconds, strokeCount, poolLength) {
const normalizedTime = timeSeconds * (25 / poolLength);
const normalizedStrokes = strokeCount * (25 / poolLength);
return normalizedTime + normalizedStrokes;
}
// Halimbawa:
const swolf = calculateSWOLF(20, 15);
// Nagbabalik ng: 35
const swolf50m = calculateNormalizedSWOLF(40, 30, 50);
// Nagbabalik ng: 35 (normalized sa 25m)
Mga Mekanika ng Stroke
Stroke Rate (SR)
Formula:
🧪 Interactive na Calculator - I-test ang Formula
SR = (30 / 25) × 60 = 72 SPM
JavaScript na Implementasyon:
function calculateStrokeRate(strokeCount, timeSeconds) {
return (strokeCount / timeSeconds) * 60;
}
// Halimbawa:
const sr = calculateStrokeRate(30, 25);
// Nagbabalik ng: 72 SPM
Distance Per Stroke (DPS)
Formula:
JavaScript na Implementasyon:
function calculateDPS(distance, strokeCount, pushoffDistance = 0) {
const effectiveDistance = distance - pushoffDistance;
return effectiveDistance / strokeCount;
}
// Halimbawa (25m pool, 5m push-off):
const dps = calculateDPS(25, 12, 5);
// Nagbabalik ng: 1.67 m/stroke
// Para sa maramihang lap:
const dps100m = calculateDPS(100, 48, 4 * 5);
// Nagbabalik ng: 1.67 m/stroke (4 lap × 5m push-off)
Velocity mula sa SR at DPS
Formula:
JavaScript na Implementasyon:
function calculateVelocity(strokeRate, dps) {
return (strokeRate / 60) * dps;
}
// Halimbawa:
const velocity = calculateVelocity(70, 1.6);
// Nagbabalik ng: 1.87 m/s
Stroke Index (SI)
Formula:
JavaScript na Implementasyon:
function calculateStrokeIndex(velocity, dps) {
return velocity * dps;
}
// Halimbawa:
const si = calculateStrokeIndex(1.5, 1.7);
// Nagbabalik ng: 2.55
Performance Management Chart (PMC)
Mga Kalkulasyon ng CTL, ATL, TSB
Mga Formula:
JavaScript na Implementasyon:
function updateCTL(previousCTL, todayTSS) {
return previousCTL + (todayTSS - previousCTL) * (1/42);
}
function updateATL(previousATL, todayTSS) {
return previousATL + (todayTSS - previousATL) * (1/7);
}
function calculateTSB(yesterdayCTL, yesterdayATL) {
return yesterdayCTL - yesterdayATL;
}
// Kalkulahin ang PMC para sa isang serye ng mga workout
function calculatePMC(workouts) {
let ctl = 0, atl = 0;
const results = [];
workouts.forEach(workout => {
ctl = updateCTL(ctl, workout.tss);
atl = updateATL(atl, workout.tss);
const tsb = calculateTSB(ctl, atl);
results.push({
date: workout.date,
tss: workout.tss,
ctl: Math.round(ctl * 10) / 10,
atl: Math.round(atl * 10) / 10,
tsb: Math.round(tsb * 10) / 10
});
});
return results;
}
// Halimbawa ng paggamit:
const workouts = [
{ date: '2025-01-01', tss: 50 },
{ date: '2025-01-02', tss: 60 },
{ date: '2025-01-03', tss: 45 },
// ... higit pang mga workout
];
const pmc = calculatePMC(workouts);
// Nagbabalik ng array na may CTL, ATL, TSB para sa bawat araw
Mga Advanced na Kalkulasyon
CSS mula sa Maramihang Distansya (Regression Method)
JavaScript na Implementasyon:
function calculateCSSRegression(distances, times) {
// Linear regression: distance = a + b*time
const n = distances.length;
const sumX = times.reduce((a, b) => a + b, 0);
const sumY = distances.reduce((a, b) => a + b, 0);
const sumXY = times.reduce((sum, x, i) => sum + x * distances[i], 0);
const sumXX = times.reduce((sum, x) => sum + x * x, 0);
const slope = (n * sumXY - sumX * sumY) / (n * sumXX - sumX * sumX);
const intercept = (sumY - slope * sumX) / n;
return {
css: slope, // Critical swimming velocity (m/s)
anaerobic_capacity: intercept // Anaerobic distance capacity (m)
};
}
// Halimbawa na may maraming test distance:
const distances = [100, 200, 400, 800];
const times = [65, 150, 340, 720]; // sa mga segundo
const result = calculateCSSRegression(distances, times);
// Nagbabalik ng: { css: 1.18, anaerobic_capacity: 15.3 }
Intensity Factor mula sa Pace
JavaScript na Implementasyon:
function calculateIntensityFactor(actualPace100m, thresholdPace100m) {
// I-convert ang pace sa speed (m/s)
const actualSpeed = 100 / actualPace100m;
const thresholdSpeed = 100 / thresholdPace100m;
return actualSpeed / thresholdSpeed;
}
// Halimbawa:
const if_value = calculateIntensityFactor(110, 93);
// Nagbabalik ng: 0.845 (lumalangoy sa 84.5% ng threshold)
Pagsusuri ng Pace Consistency
JavaScript na Implementasyon:
function analyzePaceConsistency(laps) {
const paces = laps.map(lap => lap.distance / lap.time);
const avgPace = paces.reduce((a, b) => a + b) / paces.length;
const variance = paces.reduce((sum, pace) =>
sum + Math.pow(pace - avgPace, 2), 0) / paces.length;
const stdDev = Math.sqrt(variance);
const coefficientOfVariation = (stdDev / avgPace) * 100;
return {
avgPace,
stdDev,
coefficientOfVariation,
consistency: coefficientOfVariation < 5 ? "Napakahusay" :
coefficientOfVariation < 10 ? "Mahusay" :
coefficientOfVariation < 15 ? "Katamtaman" : "pabago-bago"
};
}
// Halimbawa:
const laps = [
{ distance: 100, time: 70 },
{ distance: 100, time: 72 },
{ distance: 100, time: 71 },
// ...
];
const analysis = analyzePaceConsistency(laps);
// Nagbabalik ng: { avgPace: 1.41, stdDev: 0.02, coefficientOfVariation: 1.4, consistency: "Napakahusay" }
Fatigue Detection mula sa Bilang ng Stroke
JavaScript na Implementasyon:
function detectFatigue(laps) {
const firstThird = laps.slice(0, Math.floor(laps.length/3));
const lastThird = laps.slice(-Math.floor(laps.length/3));
const firstThirdAvg = firstThird.reduce((sum, lap) =>
sum + lap.strokeCount, 0) / firstThird.length;
const lastThirdAvg = lastThird.reduce((sum, lap) =>
sum + lap.strokeCount, 0) / lastThird.length;
const strokeCountIncrease = ((lastThirdAvg - firstThirdAvg) / firstThirdAvg) * 100;
return {
firstThirdAvg: Math.round(firstThirdAvg * 10) / 10,
lastThirdAvg: Math.round(lastThirdAvg * 10) / 10,
percentIncrease: Math.round(strokeCountIncrease * 10) / 10,
fatigueLevel: strokeCountIncrease < 5 ? "Minimal" :
strokeCountIncrease < 10 ? "Katamtaman" :
strokeCountIncrease < 20 ? "Makabuluhan" : "Malubha"
};
}
// Halimbawa:
const laps = [
{ strokeCount: 14 }, { strokeCount: 14 }, { strokeCount: 15 },
{ strokeCount: 15 }, { strokeCount: 16 }, { strokeCount: 16 },
{ strokeCount: 17 }, { strokeCount: 18 }, { strokeCount: 18 }
];
const fatigue = detectFatigue(laps);
// Nagbabalik ng: { firstThirdAvg: 14.3, lastThirdAvg: 17.7, percentIncrease: 23.8, fatigueLevel: "Malubha" }
Validation ng Data
Mga Check para sa Kalidad ng Data ng Workout
JavaScript na Implementasyon:
function validateWorkoutData(workout) {
const issues = [];
// Mag-check para sa makatwirang saklaw ng pace (1:00-5:00 bawat 100m)
const avgPace = (workout.totalTime / workout.totalDistance) * 100;
if (avgPace < 60 || avgPace > 300) {
issues.push(`Hindi karaniwang average pace: ${Math.round(avgPace)}s bawat 100m`);
}
// Mag-check para sa makatwirang bilang ng stroke (10-50 bawat 25m)
const avgStrokesPer25m = (workout.totalStrokes / workout.totalDistance) * 25;
if (avgStrokesPer25m < 10 || avgStrokesPer25m > 50) {
issues.push(`Hindi karaniwang bilang ng stroke: ${Math.round(avgStrokesPer25m)} bawat 25m`);
}
// Mag-check para sa makatwirang stroke rate (30-150 SPM)
const avgSR = calculateStrokeRate(workout.totalStrokes, workout.totalTime);
if (avgSR < 30 || avgSR > 150) {
issues.push(`Hindi karaniwang stroke rate: ${Math.round(avgSR)} SPM`);
}
// Mag-check para sa mga nawawalang lap (mga agwat sa oras)
if (workout.laps && workout.laps.length > 1) {
for (let i = 1; i < workout.laps.length; i++) {
const gap = workout.laps[i].startTime -
(workout.laps[i-1].startTime + workout.laps[i-1].duration);
if (gap > 300) { // 5 minutong agwat
issues.push(`Natukoy ang malaking agwat sa pagitan ng mga lap ${i} at ${i+1}`);
}
}
}
return {
isValid: issues.length === 0,
issues: issues
};
}
Mga sanggunian at Pananaliksik
Ang mga formula na ipinatupad sa Swim Analytics ay batay sa sumusunod na peer-reviewed na siyentipikong literatura:
- Wakayoshi K, et al. (1992). "Determination and validity of critical velocity as an index of swimming performance in the competitive swimmer." European Journal of Applied Physiology.
- Costill DL, et al. (1985). "Energy expenditure during front crawl swimming: predicting success in middle-distance events." International Journal of Sports Medicine.
- Toussaint HM, et al. (1990). "The mechanical efficiency of front crawl swimming." Medicine & Science in Sports & Exercise.
- Banister EW, et al. (1975). "A systems model of training for athletic performance." Australian Journal of Sports Medicine.
- Coggan AR, et al. (2010). "Training and Racing with a Power Meter." (Adapted for swimming metrics).
Pangako sa Transparency
Naniniwala kami na dapat pag-arian ng mga atleta ang kanilang data at maunawaan kung paano ginagawa ang bawat sukatan. Kung mayroon kang mga tanong tungkol sa aming mga implementasyon ng formula, mangyaring makipag-ugnayan sa aming technical team.