#include <Math.h>
Note that these operations are supposed to work with elementary types only.
Public Types | |
| enum | VarianceType { VAR_BIASED = 0, VAR_UNBIASED = 1 } |
| Possible types of variance. More... | |
Static Public Methods | |
| template<class T> double | variance (const List< T > &lst, VarianceType type=VAR_UNBIASED) throw (MathException&) |
| Calculate the variance of all values in a list. | |
| template<class T> double | stdev (const List< T > &lst) throw (MathException&) |
| Calculate the standard deviation of all values in a list. | |
| template<class T> double | mean (const List< T > &lst) throw (MathException&) |
| Calculate the mean of all values in a list. | |
| template<class T> T | median (const List< T > &lst) throw (MathException&) |
| Find the median in a list of values. | |
| template<class T> void | meanAndVariance (const List< T > &mat, double &mean, double &variance, VarianceType type=VAR_UNBIASED) throw (MathException&) |
| Calculate the mean and variance for the values in a list. | |
| template<class T> void | minAndMax (const Matrix< T > &lst, T &min, T &max) throw (MathException&) |
| Finds the min and max values from a matrix. | |
| double | factorial (unsigned int x) |
| Calculate the factorial of x (i.e. | |
| template<class T> T | sum (const List< T > &lst) throw (MathException&) |
| Calculate the sum of all values in a list. | |
| template<class T> T | max (const List< T > &lst) throw (MathException&) |
| Finds the maximum value of the list. | |
| template<class T> T | min (const List< T > &lst) throw (MathException&) |
| Finds the minimum value of the list. | |
| template<class T> void | minAndMax (const List< T > &lst, T &min, T &max) throw (MathException&) |
| Finds the min and max values from a list. | |
| template<class T> int | numberOf (const List< T > &lst, const T parameter) throw (MathException&) |
| Find the number of given parameters from list. | |
| template<class T> double | entropy (const List< T > &lst) throw (MathException&) |
| Calculate the entropy of the elements in a list. | |
| template<class T> double | variance (const Matrix< T > &mat, VarianceType type=VAR_UNBIASED) throw (MathException&) |
| Calculate the variance of all values in a matrix. | |
| template<class T> Matrix< double > | covariance (const Matrix< T > &mat) throw (MathException&,MatrixException&) |
| Calculate a covariance matrix. | |
| template<class T> double | stdev (const Matrix< T > &mat) throw (MathException&) |
| Calculate the standard deviation of all values in a matrix. | |
| template<class T> double | mean (const Matrix< T > &mat) throw (MathException&) |
| Calculate the mean of all values in a matrix. | |
| template<class T> T | median (const Matrix< T > &mat) throw (MathException&) |
| Find the median in a matrix. | |
| template<class T> void | meanAndVariance (const Matrix< T > &mat, double &mean, double &variance, VarianceType type=VAR_UNBIASED) throw (MathException&) |
| Calculate mean and variance for all entries in a matrix. | |
| template<class T> T | sum (const Matrix< T > &mat) throw (MathException&) |
| Calculate the sum of all values in a matrix. | |
| template<class T> T | max (const Matrix< T > &mat) throw (MathException&) |
| Find the maximum value in a matrix. | |
| template<class T> T | min (const Matrix< T > &mat) throw (MathException&) |
| Find the minimum value in a matrix. | |
| template<class T> int | numberOf (const Matrix< T > &mat, const T ¶meter) throw (MathException&) |
| Find the number of given parameters from the matrix. | |
| template<class T> double | entropy (const Matrix< T > &mat) throw (MathException&) |
| Calculate the entropy of the elements in a matrix. | |
| List< List< int > > | findCombinations (int numberOfClasses, int whichCombinations) throw (MathException&) |
| Calculate the combination given in whichCombinations from classes given in numberOfClasses (whis is the MAX index for class. | |
| List< List< int > > | findAllCombinations (int numberOfClasses) throw (MathException&) |
| Calculate all combinations of given number of classes. | |
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Possible types of variance. When calculating variance in VAR_BIASED mode, the result is 1/N*sumi=1..N(xi-ux)2. In VAR_UNBIASED mode the divisor 1/N is changed to 1/(N-1) to obtain an unbiased estimate of the sample variance. Stddev uses VAR_UNBIASED by default. |
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Calculate a covariance matrix. In the input matrix, each row is an observation and each column a variable. The diagonal of the covariance matrix contains variances for each variable. The resulting matrix will be of size NxN where N is the number of variables (dimensions) in each observation vector. |
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Calculate the factorial of x (i.e. x!). For large values of x the returned value may not be quite accurate. |
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Calculate all combinations of given number of classes.
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Calculate the combination given in whichCombinations from classes given in numberOfClasses (whis is the MAX index for class. fl. if you have classes 0,1,2 give number 2 and function calculates combinations).
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Calculate the variance of all values in a list. The result value is the best unbiased estimate of var(x), i.e. 1/(n-1) * sum((x-mx)^2). |