Rejea ya Kiufundi & Fomula
Utekelezaji Kamili wa Kihisabati
Mwongozo wa Utekelezaji
Ukurasa huu unatoa fomula za kunakili-bandika na mbinu za kuhesabu hatua kwa hatua kwa vipimo vyote vya SwimAnalytics. Tumia hizi kwa utekelezaji wa kawaida, uthibitisho, au uelewa wa kina zaidi.
⚠️ Vidokezo vya Utekelezaji
- Nyakati zote zinapaswa kubadilishwa kuwa sekunde kwa mahesabu
- Kasi ya kuogelea ni inverse (% ya juu = kasi ya pole)
- Daima thibitisha ingizo kwa masafa yenye mantiki
- Shughulikia kesi za pembeni (kugawanya kwa sifuri, thamani hasi)
Vipimo Vya Msingi vya Utendaji
Kasi Muhimu ya Kuogelea (CSS)
Fomula:
CSS (m/s) = (D₂ - D₁) / (T₂ - T₁)
CSS Pace/100m (seconds) = (T₄₀₀ - T₂₀₀) / 2
🧪 Kikokotoo cha Kuingiliana - Jaribu Fomula
Kasi ya CSS kwa 100m:
1:49
Hatua za kuhesabu:
CSS (m/s) = (400 - 200) / (368 - 150) = 0.917 m/s
Pace/100m = 100 / 0.917 = 109 seconds = 1:49
CSS (m/s) = (400 - 200) / (368 - 150) = 0.917 m/s
Pace/100m = 100 / 0.917 = 109 seconds = 1:49
Utekelezaji wa JavaScript:
function calculateCSS(distance1, time1, distance2, time2) {
// Convert times to seconds if needed
const t1 = typeof time1 === 'string' ? timeToSeconds(time1) : time1;
const t2 = typeof time2 === 'string' ? timeToSeconds(time2) : time2;
// Calculate CSS in m/s
const css_ms = (distance2 - distance1) / (t2 - t1);
// Calculate pace per 100m in seconds
const pace_per_100m = 100 / css_ms;
// Convert to mm:ss 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')}`
};
}
// Example usage:
const result = calculateCSS(200, 150, 400, 368);
// Returns: { css_ms: 0.917, pace_seconds: 109, pace_formatted: "1:49" }
Alama ya Mkazo wa Mafunzo ya Kuogelea (sTSS)
Fomula Kamili:
sTSS = (IF³) × Duration (hours) × 100
IF = NSS / FTP
NSS = Total Distance / Total Time (m/min)
🧪 Kikokotoo cha Kuingiliana - Jaribu Fomula
sTSS Iliyohesabiwa:
55
Hatua za kuhesabu:
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
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
Utekelezaji wa JavaScript:
function calculateSTSS(distance, timeMinutes, ftpMetersPerMin) {
// Calculate Normalized Swim Speed
const nss = distance / timeMinutes;
// Calculate Intensity Factor
const intensityFactor = nss / ftpMetersPerMin;
// Calculate hours
const hours = timeMinutes / 60;
// Calculate sTSS using cubed intensity factor
const stss = Math.pow(intensityFactor, 3) * hours * 100;
return Math.round(stss);
}
// Example usage:
const stss = calculateSTSS(3000, 55, 64.5);
// Returns: 55
// Helper: Convert CSS to FTP
function cssToFTP(cssPacePer100mSeconds) {
// FTP in m/min = 100m / (pace in minutes)
return 100 / (cssPacePer100mSeconds / 60);
}
// Example: CSS of 1:33 (93 seconds)
const ftp = cssToFTP(93); // Returns: 64.5 m/min
SWOLF
Fomula:
SWOLF = Lap Time (seconds) + Stroke Count
SWOLF₂₅ = (Time × 25/Pool Length) + (Strokes × 25/Pool Length)
🧪 Kikokotoo cha Kuingiliana - Jaribu Fomula
Alama ya SWOLF:
35
Hesabu:
SWOLF = 20s + 15 strokes = 35
SWOLF = 20s + 15 strokes = 35
Utekelezaji wa JavaScript:
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;
}
// Example:
const swolf = calculateSWOLF(20, 15);
// Returns: 35
const swolf50m = calculateNormalizedSWOLF(40, 30, 50);
// Returns: 35 (normalized to 25m)
Mekanika ya Mvuto
Kiwango cha Mvuto (SR)
Fomula:
SR = 60 / Cycle Time (seconds)
SR = (Number of Strokes / Time in seconds) × 60
🧪 Kikokotoo cha Kuingiliana - Jaribu Fomula
Kiwango cha Mvuto (SPM):
72
Hesabu:
SR = (30 / 25) × 60 = 72 SPM
SR = (30 / 25) × 60 = 72 SPM
Utekelezaji wa JavaScript:
function calculateStrokeRate(strokeCount, timeSeconds) {
return (strokeCount / timeSeconds) * 60;
}
// Example:
const sr = calculateStrokeRate(30, 25);
// Returns: 72 SPM
Umbali kwa Mvuto (DPS)
Fomula:
DPS = Distance / Stroke Count
DPS = Distance / (SR / 60)
Utekelezaji wa JavaScript:
function calculateDPS(distance, strokeCount, pushoffDistance = 0) {
const effectiveDistance = distance - pushoffDistance;
return effectiveDistance / strokeCount;
}
// Example (25m pool, 5m push-off):
const dps = calculateDPS(25, 12, 5);
// Returns: 1.67 m/stroke
// For multiple laps:
const dps100m = calculateDPS(100, 48, 4 * 5);
// Returns: 1.67 m/stroke (4 laps × 5m push-off)
Kasi kutoka SR na DPS
Fomula:
Velocity (m/s) = (SR / 60) × DPS
Utekelezaji wa JavaScript:
function calculateVelocity(strokeRate, dps) {
return (strokeRate / 60) * dps;
}
// Example:
const velocity = calculateVelocity(70, 1.6);
// Returns: 1.87 m/s
Faharasa ya Mvuto (SI)
Fomula:
SI = Velocity (m/s) × DPS (m/stroke)
Utekelezaji wa JavaScript:
function calculateStrokeIndex(velocity, dps) {
return velocity * dps;
}
// Example:
const si = calculateStrokeIndex(1.5, 1.7);
// Returns: 2.55
Chati ya Usimamizi wa Utendaji (PMC)
Mahesabu ya CTL, ATL, TSB
Fomula:
CTL today = CTL yesterday + (TSS today - CTL yesterday) × (1/42)
ATL today = ATL yesterday + (TSS today - ATL yesterday) × (1/7)
TSB = CTL yesterday - ATL yesterday
Utekelezaji wa JavaScript:
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;
}
// Calculate PMC for series of workouts
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;
}
// Example usage:
const workouts = [
{ date: '2025-01-01', tss: 50 },
{ date: '2025-01-02', tss: 60 },
{ date: '2025-01-03', tss: 45 },
// ... more workouts
];
const pmc = calculatePMC(workouts);
// Returns array with CTL, ATL, TSB for each day
Mahesabu ya Juu
CSS kutoka Umbali Mwingi (Njia ya Regression)
Utekelezaji wa JavaScript:
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)
};
}
// Example with multiple test distances:
const distances = [100, 200, 400, 800];
const times = [65, 150, 340, 720]; // in seconds
const result = calculateCSSRegression(distances, times);
// Returns: { css: 1.18, anaerobic_capacity: 15.3 }
Sababu ya Ukali kutoka Kasi
Utekelezaji wa JavaScript:
function calculateIntensityFactor(actualPace100m, thresholdPace100m) {
// Convert pace to speed (m/s)
const actualSpeed = 100 / actualPace100m;
const thresholdSpeed = 100 / thresholdPace100m;
return actualSpeed / thresholdSpeed;
}
// Example:
const if_value = calculateIntensityFactor(110, 93);
// Returns: 0.845 (swimming at 84.5% of threshold)
Uchanganuzi wa Uthabiti wa Kasi
Utekelezaji wa JavaScript:
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 ? "Excellent" :
coefficientOfVariation < 10 ? "Good" :
coefficientOfVariation < 15 ? "Moderate" : "Variable"
};
}
// Example:
const laps = [
{ distance: 100, time: 70 },
{ distance: 100, time: 72 },
{ distance: 100, time: 71 },
// ...
];
const analysis = analyzePaceConsistency(laps);
// Returns: { avgPace: 1.41, stdDev: 0.02, coefficientOfVariation: 1.4, consistency: "Excellent" }
Ugunduzi wa Uchovu kutoka Hesabu ya Mikwaju
Utekelezaji wa JavaScript:
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 ? "Moderate" :
strokeCountIncrease < 20 ? "Significant" : "Severe"
};
}
// Example:
const laps = [
{ strokeCount: 14 }, { strokeCount: 14 }, { strokeCount: 15 },
{ strokeCount: 15 }, { strokeCount: 16 }, { strokeCount: 16 },
{ strokeCount: 17 }, { strokeCount: 18 }, { strokeCount: 18 }
];
const fatigue = detectFatigue(laps);
// Returns: { firstThirdAvg: 14.3, lastThirdAvg: 17.7, percentIncrease: 23.8, fatigueLevel: "Severe" }
Uthibitishaji wa Data
Ukaguzi wa Ubora wa Data ya Mazoezi
Utekelezaji wa JavaScript:
function validateWorkoutData(workout) {
const issues = [];
// Check for reasonable pace ranges (1:00-5:00 per 100m)
const avgPace = (workout.totalTime / workout.totalDistance) * 100;
if (avgPace < 60 || avgPace > 300) {
issues.push(`Unusual average pace: ${Math.round(avgPace)}s per 100m`);
}
// Check for reasonable stroke counts (10-50 per 25m)
const avgStrokesPer25m = (workout.totalStrokes / workout.totalDistance) * 25;
if (avgStrokesPer25m < 10 || avgStrokesPer25m > 50) {
issues.push(`Unusual stroke count: ${Math.round(avgStrokesPer25m)} per 25m`);
}
// Check for reasonable stroke rate (30-150 SPM)
const avgSR = calculateStrokeRate(workout.totalStrokes, workout.totalTime);
if (avgSR < 30 || avgSR > 150) {
issues.push(`Unusual stroke rate: ${Math.round(avgSR)} SPM`);
}
// Check for missing laps (gaps in time)
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 minute gap
issues.push(`Large gap detected between laps ${i} and ${i+1}`);
}
}
}
return {
isValid: issues.length === 0,
issues
};
}
// Example:
const workout = {
totalDistance: 2000,
totalTime: 1800, // 30 minutes
totalStrokes: 800,
laps: [/* lap data */]
};
const validation = validateWorkoutData(workout);
// Returns: { isValid: true, issues: [] }
Vipengele vya Kusaidia
Zana za Kubadilisha Muda
Utekelezaji wa JavaScript:
// Convert mm:ss to seconds
function timeToSeconds(timeString) {
const parts = timeString.split(':');
return parseInt(parts[0]) * 60 + parseInt(parts[1]);
}
// Convert seconds to mm:ss
function secondsToTime(seconds) {
const minutes = Math.floor(seconds / 60);
const secs = Math.round(seconds % 60);
return `${minutes}:${secs.toString().padStart(2, '0')}`;
}
// Convert seconds to hh:mm:ss
function secondsToTimeDetailed(seconds) {
const hours = Math.floor(seconds / 3600);
const minutes = Math.floor((seconds % 3600) / 60);
const secs = Math.round(seconds % 60);
return `${hours}:${minutes.toString().padStart(2, '0')}:${secs.toString().padStart(2, '0')}`;
}
// Examples:
timeToSeconds("1:33"); // Returns: 93
secondsToTime(93); // Returns: "1:33"
secondsToTimeDetailed(3665); // Returns: "1:01:05"
Rasilimali za Utekelezaji
Fomula zote kwenye ukurasa huu ziko tayari kwa uzalishaji na zimethibitishwa dhidi ya fasihi ya kisayansi. Tumia kwa zana za uchanganuzi wa kawaida, uthibitisho, au uelewa wa kina zaidi wa mahesabu ya utendaji wa kuogelea.
💡 Mazoea Bora
- Thibitisha ingizo: Angalia masafa yenye mantiki kabla ya kuhesabu
- Shughulikia kesi za pembeni: Kugawanya kwa sifuri, thamani hasi, data isiyo na kitu
- Zungushia vizuri: CTL/ATL/TSB hadi decimal 1, sTSS hadi integer
- Hifadhi usahihi: Weka usahihi kamili katika hifadhidata, zungushia kwa kuonyesha
- Jaribu kwa ukamilifu: Tumia data inayojulikana nzuri kuthibitisha mahesabu