Utility class containing static basic math functions. More...
#include <mathb.h>
Inheritance diagram for Sleipnir::CMath:
Static Public Member Functions | |
| static double | LogFact (size_t iN) |
| Returns the log of N factorial. | |
| static double | Sigmoid (double dHeight, double dShift, double dSlope, double dVertical, double dX) |
| Calculates the sigmoid function with the given parameters. | |
| static size_t | GCD (size_t iA, size_t iB) |
| Return greatest common denominator of A and B. | |
| static size_t | Round (double d) |
| Return given value rounded to the nearest unsigned integer. | |
| template<class tType , class tIter > | |
| static bool | LeastSquares (const tIter BeginY, const tIter EndY, const tIter BeginX, const tIter EndX, tType &Alpha, tType &Beta, bool fAlpha=true) |
Detailed Description
Member Function Documentation
| static size_t Sleipnir::CMath::GCD | ( | size_t | iA, |
| size_t | iB | ||
| ) | [inline, static] |
| double Sleipnir::CMath::LogFact | ( | size_t | iN | ) | [static] |
Returns the log of N factorial.
- Parameters:
-
iN Integer to be factorialed and logged.
- Returns:
- log(N!)
- Remarks:
- Calculated exactly and cached for small N, calculated using Stirling's approximation for large N.
Definition at line 42 of file mathb.cpp.
Referenced by Sleipnir::CStatistics::HypergeometricPDF().
| static size_t Sleipnir::CMath::Round | ( | double | d | ) | [inline, static] |
Return given value rounded to the nearest unsigned integer.
- Parameters:
-
d Floating point value to round.
- Returns:
- Given value rounded to the nearest unsigned integer.
- Remarks:
- Calculated as the floor of the given value plus 0.5. It would be peachy if Microsoft would get on top of C99 and implement round correctly...
Definition at line 105 of file mathb.h.
Referenced by Sleipnir::CColor::operator*().
| static double Sleipnir::CMath::Sigmoid | ( | double | dHeight, |
| double | dShift, | ||
| double | dSlope, | ||
| double | dVertical, | ||
| double | dX | ||
| ) | [inline, static] |
Calculates the sigmoid function with the given parameters.
- Parameters:
-
dHeight Height (multiplier) of sigmoid. dShift Horizontal shift (difference) of sigmoid. dSlope Slope (sharpness) of sigmoid. dVertical Vertical shift (constant addend) of sigmoid. dX Point at which sigmoid should be evaluated.
- Returns:
- dVertical + (dHeight / (1 + exp(-dSlope * (dX - dShift))))
The documentation for this class was generated from the following files:
