Math functions

Install via composer

composer require jblond/math-functions

Circle

• radiusToArea(float $radius)
• areaToRadius(float $area)
• areaToCircumference(float $area)
• circumferenceToArea(float $c)
• radiusToCircumference(float $radius)
• circumferenceToRadius(float $c)

Geo distance

Calculates the distance between two points. Choose your function.

• vincenty function
  - Parameters

  float $latitudeFrom Latitude of start point in [deg decimal]
  float $longitudeFrom Longitude of start point in [deg decimal]
  float $latitudeTo Latitude of target point in [deg decimal]
  float $longitudeTo Longitude of target point in [deg decimal]
  float $earthRadius Mean earth radius in [m]
  OPTIONAL float|int Distance between points in [m] (same as earthRadius) default: 6371000 meters
• haversine function
  - Parameters

  float $latitudeFrom Latitude of start point in [deg decimal]
  float $longitudeFrom Longitude of start point in [deg decimal]
  float $latitudeTo Latitude of target point in [deg decimal]
  float $longitudeTo Longitude of target point in [deg decimal]
  
• greatCircle
  - Parameters

  float $latitudeFrom Latitude of start point in [deg decimal]
  float $longitudeFrom Longitude of start point in [deg decimal]
  float $latitudeTo Latitude of target point in [deg decimal]
  - float $longitudeTo Longitude of target point in [deg decimal]
  
• equirectangularApproximation
  - Parameters

  float $latitudeFrom Latitude of start point in [deg decimal]
  float $longitudeFrom Longitude of start point in [deg decimal]
  float $latitudeTo Latitude of target point in [deg decimal]
  float $longitudeTo Longitude of target point in [deg decimal]
  
• cosineLaw
  - Parameters

  float $latitudeFrom Latitude of start point in [deg decimal]
  float $longitudeFrom Longitude of start point in [deg decimal]
  float $latitudeTo Latitude of target point in [deg decimal]
  float $longitudeTo Longitude of target point in [deg decimal]
  

Fibonacci

• Fibonacci
  • fibonacciRecursion(int $number)
  • fibonacciWithBinetFormula(int $number)

Air

• AbsoluteHumidity(float $relativeHumidity, float $temperature, bool $temperatureInFahrenheit = false, bool $isRelativeHumidityInPercent = true)
• density(float $temperatureInCelsius, float $airPressure, float $relativeHumidityInPercent)
• dewPoint(float $temperatureInCelsius, float $humidityInPercent)
• heatIndex(float $temperatureInCelsius, float $humidityInPercent)
• heatIndexWarning(int $heatIndex)
• wetBulbTemperature(float $temperatureInCelsius, float $humidityInPercent)
• windchill(float $temperatureInCelsius, float $windSpeedInKmPerHour)
• iso7730(float $temperature, float $radiantTemperature, float $velocity, float $relativeHumidity, float $metabolicRate, float $clothingInsulation )
• pmvToWords(float $pmv, string $lang = 'en') See also ISO-7730

Psychrometric Chart

• saturationVaporPressurePa(float $T)
• humidityRatioFromRH(float $T, float $RH, float $pPa = 101325.0)
• enthalpy(float $T, float $w)
• rhIsoline(float $RH, float $pPa = 101325.0, float $Tmin = 0.0, float $Tmax = 40.0, float $dT = 1.0)
• enthalpyLine(float $hTarget, float $Tmin = 0.0, float $Tmax = 40.0, float $dT = 1.0)
• stateLineAtT(float $T, float $pPa = 101325.0)

PsychrometricChartRenderer

• __construct(int $width = 1000, int $height = 700)
• setRanges(float $tMin, float $tMax, float $wMin, float $wMax)
• setPressurePa(float $p)
• drawAxesAndGrid(float $tStep = 5.0, float $wStep = 0.005)
• drawRhIsolines(array $rhValues = [10,20,30,40,50,60,70,80,90,100], float $tStep = 0.5)
• drawEnthalpyLines(array $hValues = [20, 30, 40, 50, 60, 70, 80], float $tStep = 0.5)
• plotPointFromTRH(float $T, float $RH, int $radius = 8, string $label = '')
• savePng(string $path)

Sphere

• areaOfADisc(float $radius)
• circumference(float $radius)
• diameter(float $radius)
• surfaceArea(float $radius)
• volume(float $radius)
• heading(array $from, array $to)

Temperature

• fahrenheitToCelsius(float $temperature)
• celsiusToFahrenheit(float $temperature)
• fahrenheitToKelvin(float $temperature)
• celsiusToKelvin(float $temperature)
• kelvinToCelsius(float $temperature)

ISO‑52016 (Building Energy / Moisture Module)

• vaporPressureDeficitPa(float $T, float $RH)
• degreeOfSaturation(float $T, float $RH, float $pressurePa = 101325.0)
• specificHumidity(float $T, float $RH, float $pressurePa = 101325.0)
• latentMoistureLoad(float $airFlowM3s, float $T, float $RH, float $targetRH, float $pressurePa = 101325.0)
• operativeTemperature(float $airTemp, float $radiantTemp, float $airVelocity = 0.1)
• moistureBalanceStep(float $currentW, float $moistureSourceKgPerS, float $airMassFlowKgPerS, float $targetW, float $dtSeconds)

MouldIndex

• step(float $M, float $T, float $RH, float $dtHours, string $material = 'medium')
• accumulat(earray $samples, float $dtHours = 1.0, string $material = 'medium')