Math Related Functions

File position: /EMOC/src/core/utility.h and /EMOC/src/core/utility.cpp

In EMOC, some mathematic operations are also provided for convenience:

int Combination(int n, int k)

Return the combination number with the given parameters.

Parameter:
	n: int, default=None The number of total things. k: int, default=None The number of things taken from the total n things.
Returns:
	combination: double Combination number.

double CalculateCos(double *a, double *b, int dimension)

Calculate the cosine value between two vectors.

Parameter:
	a: double, default=None* The first vector. It's a 1D array of double. b: double, default=None* The second vector. It's a 1D array of double. dimension: int, default=None The dimension of given vectors.
Returns:
	cos: double Cosine value between vector a and vector b.

double CalculateSin(double *a, double *b, int dimension)

Calculate the sine value between two vectors.

Parameter:
	a: double, default=None* The first vector. It's a 1D array of double. b: double, default=None* The second vector. It's a 1D array of double. dimension: int, default=None The dimension of given vectors.
Returns:
	sin: double Sine value between vector a and vector b.

double CalculateNorm(double *vector, int dimension)

Calculate the norm of given vector.

Parameter:
	vector: double, default=None* The pointer to given vector. It's a 1D array of double. dimension: int, default=None The dimension of given vector.
Returns:
	norm: double The norm of given vector.

double CalculateDotProduct(double *vector1, double *vector2, int dimension)

Calculate the dot product between two vectors.

Parameter:
	vector1: double, default=None* The first vector. It's a 1D array of double. vector2: double, default=None* The second vector. It's a 1D array of double. dimension: int, default=None The dimension of given vectors.
Returns:
	sin: double Dot product between the two given vectors.

double CalEuclidianDistance(double* a, double* b, int dimension)

Calculate the euclidian distance between two vectors.

Parameter:
	a: double, default=None* The first vector. It's a 1D array of double. b: double, default=None* The second vector. It's a 1D array of double. dimension: int, default=None The dimension of given vectors.
Returns:
	distance: double The euclidian distance between two vectors.

double CalPerpendicularDistance(double* a, double* b, int dimension)

Calculate the perpendicular distance between two vectors.

Parameter:
	a: double, default=None* The first vector. It's a 1D array of double. b: double, default=None* The second vector. It's a 1D array of double. dimension: int, default=None The dimension of given vectors.
Returns:
	perpendicular: double The euclidian distance between two vectors.

Math Related Functions #