com.aquafold.openapi.math
Interface AQFit

public interface AQFit

Method Summary

double	evaluate(double x, AQParametricRealFunction F, double[] coefficients) Evaluates parametric real function at point x, given user-defined coefficients
double[]	expFit(double[] x, double[] y) Calculates exponential fit for incoming array with no initial guess (linear transform fit) [link]
double[]	expFit(double[] x, double[] y, double[] coeff) Calculates exponential fit for incoming array (form = a ebx+c) with initial guess [link]
double[]	expFitCoeff(double[] x, double[] y) Returns coefficients of exponential fit (form = a ebx+c) for incoming array with no initial guess (linear transform fit) [link]
double[]	expFitCoeff(double[] x, double[] y, double[] coeff) Returns coefficients of exponential fit for incoming array (form = a ebx+c) [link]
double[]	getResidual(double[] rawdata, double[] fitdata) Calculates residual (difference between raw and fitted data) for given fit.
double	getRsq(double[] rawdata, double[] fitdata) Calculates R2 value for a given fit.
double[]	linFit(double[] x, double[] y) Calculates best fit line through incoming data [link]
double[]	linFitCoeff(double[] x, double[] y) Returns coefficients of best fit line through incoming data [link]
AQParametricRealFunction	newEXP_Function() Returns AQParametric Function of type a ebx+c
AQParametricRealFunction	newLN_Function() Returns AQParametric Function of type a ln(bx)+c
AQParametricRealFunction	newPOLY_Function() Returns AQParametric Function of type a0 + a1 x1+...
AQParametricRealFunction	newPOW_Function() Returns AQParametric Function of type a xb+c
AQParametricRealFunction	newWEIBULL_Function() Returns AQParametric Function of type e-(x/a)b
double[]	polyFit(double[] x, double[] y, int order) Calculates best fit Polynomial of user-defined order [link]
double[]	polyFitCoeff(double[] x, double[] y, int order) Returns coefficients of best fit Polynomial of user-defined order [link]
double[]	powerFit(double[] x, double[] y) Calculates power fit for incoming array with no initial guess, (form = a xb+c) [link]
double[]	powerFitCoeff(double[] x, double[] y) Calculates power fit for incoming array with no initial guess, (form = a xb+c) [link]
double	SSE(double[] x) Calculates sum-squared difference between an incoming array and its mean [link]
double	SSE(double[] x, double[] y) Calculates sum-squared difference between incoming arrays [link]
double[]	weibullFit(double[] x, double[] y, double[] coeff) Calculates Weibull fit for incoming array (form = e-(x/a)b)) with initial guess [link]
double[]	weibullFitCoeff(double[] x, double[] y, double[] coeff) Calculates Weibull fit for incoming array (form = e-(x/a)b)) [link]

Method Detail

getRsq

double getRsq(double[] rawdata,
              double[] fitdata)

Calculates R² value for a given fit. Calculates degree of variation for one set that can be predicted from another. [link]

Parameters:

rawdata - a double precision array.

fitdata - a double precision array.

Returns:

double precision value

Throws:

IllegalArgumentException - if the incoming array is empty

getResidual

double[] getResidual(double[] rawdata,
                     double[] fitdata)

Calculates residual (difference between raw and fitted data) for given fit. [link]

Parameters:

rawdata - a double precision array.

fitdata - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

linFit

double[] linFit(double[] x,
                double[] y)

Calculates best fit line through incoming data [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

linFitCoeff

double[] linFitCoeff(double[] x,
                     double[] y)

Returns coefficients of best fit line through incoming data [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

expFit

double[] expFit(double[] x,
                double[] y)

Calculates exponential fit for incoming array with no initial guess (linear transform fit) [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

expFitCoeff

double[] expFitCoeff(double[] x,
                     double[] y)

Returns coefficients of exponential fit (form = a e^bx+c) for incoming array with no initial guess (linear transform fit) [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

expFit

double[] expFit(double[] x,
                double[] y,
                double[] coeff)

Calculates exponential fit for incoming array (form = a e^bx+c) with initial guess [link]

Parameters:

x - a double precision array.

y - a double precision array.

coeff - a double precision array (initial guess)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

expFitCoeff

double[] expFitCoeff(double[] x,
                     double[] y,
                     double[] coeff)

Returns coefficients of exponential fit for incoming array (form = a e^bx+c) [link]

Parameters:

x - a double precision array.

y - a double precision array.

coeff - a double precision array (initial guess)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

weibullFit

double[] weibullFit(double[] x,
                    double[] y,
                    double[] coeff)

Calculates Weibull fit for incoming array (form = e^-(x/a)b)) with initial guess [link]

Parameters:

x - a double precision array.

y - a double precision array.

coeff - a double precision array (initial guess for a and b)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

weibullFitCoeff

double[] weibullFitCoeff(double[] x,
                         double[] y,
                         double[] coeff)

Calculates Weibull fit for incoming array (form = e^-(x/a)b)) [link]

Parameters:

x - a double precision array.

y - a double precision array.

coeff - a double precision array (initial guess for a and b)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

powerFit

double[] powerFit(double[] x,
                  double[] y)

Calculates power fit for incoming array with no initial guess, (form = a x^b+c) [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

powerFitCoeff

double[] powerFitCoeff(double[] x,
                       double[] y)

Calculates power fit for incoming array with no initial guess, (form = a x^b+c) [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

evaluate

double evaluate(double x,
                AQParametricRealFunction F,
                double[] coefficients)

Evaluates parametric real function at point x, given user-defined coefficients

Parameters:

x - a double precision array.

F - an AQParametricRealFunction

coefficients - a double precision array

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

SSE

double SSE(double[] x)

Calculates sum-squared difference between an incoming array and its mean [link]

Parameters:

x - a double precision array.

Returns:

double precision value

Throws:

IllegalArgumentException - if the incoming array is empty

SSE

double SSE(double[] x,
           double[] y)

Calculates sum-squared difference between incoming arrays [link]

Parameters:

x - a double precision array.

y - a double precision array.

Returns:

double precision value

Throws:

IllegalArgumentException - if the incoming array is empty

polyFit

double[] polyFit(double[] x,
                 double[] y,
                 int order)

Calculates best fit Polynomial of user-defined order [link]

Parameters:

x - a double precision array.

y - a double precision array.

order - integer value (desired polynomial order)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

polyFitCoeff

double[] polyFitCoeff(double[] x,
                      double[] y,
                      int order)

Returns coefficients of best fit Polynomial of user-defined order [link]

Parameters:

x - a double precision array.

y - a double precision array.

order - integer value (desired polynomial order)

Returns:

double precision array

Throws:

IllegalArgumentException - if the incoming array is empty

newEXP_Function

AQParametricRealFunction newEXP_Function()

Returns AQParametric Function of type a e^bx+c

Returns:

AQParametricFunction

newPOLY_Function

AQParametricRealFunction newPOLY_Function()

Returns AQParametric Function of type a₀ + a₁ x¹+...

Returns:

AQParametricFunction

newLN_Function

AQParametricRealFunction newLN_Function()

Returns AQParametric Function of type a ln(bx)+c

Returns:

AQParametricFunction

newWEIBULL_Function

AQParametricRealFunction newWEIBULL_Function()

Returns AQParametric Function of type e^-(x/a)b

Returns:

AQParametricFunction

newPOW_Function

AQParametricRealFunction newPOW_Function()

Returns AQParametric Function of type a x^b+c

Returns:

AQParametricFunction