math_tools.general_math Namespace Reference

Functions
def	sign_choice
def	inv
def	round
def	round_mat
def	equal
def	ensured_in_range
def	sign
def	connect_interval
def	binary_choice
def	solve_quadratic_inequality
def	closest_border
def	accommodating_interval
def	gauss_rec
def	gauss_kernel_cosine

Variables
int	two_pi = 2
int	pi = 1
tuple	deg_to_rad = (math.pi/180.00)
tuple	rad_to_deg = (180.00/math.pi)
float	epsilon = 0.00001
tuple	f0 = float(0)
tuple	f1 = float(1)
int	err_code = 0
tuple	infinity = float("inf")

Function Documentation

def math_tools.general_math.accommodating_interval	(		x,
			S
	)

This function returns the interval in which x is located(accommodated)
if x is not in the interval, then None is returned    

Definition at line 168 of file general_math.py.

def math_tools.general_math.binary_choice	(		a,
			b,
			z
	)

This function returns "a" or "b" depending on the sign of "z",
if "z" is positive or zero, "a" is returned otherwise "b" is returned

Definition at line 120 of file general_math.py.

def math_tools.general_math.closest_border	(		x,
			S,
			k = 0.01
	)

Returns the closest border of set S to value x. S is an interval variable from package interval

Definition at line 150 of file general_math.py.

def math_tools.general_math.connect_interval

(

C

)

Sometimes the interval includes two descrite intervals so that
the upper bound of interval i equals the lower bound of interval i + 1
In this case it is better to connect the two intervals.
This functions does this and returns an interval in which all sequential continuous intervals are replaced by one interval.

Definition at line 95 of file general_math.py.

def math_tools.general_math.ensured_in_range	(		x,
			xl,
			xh
	)

Definition at line 76 of file general_math.py.

def math_tools.general_math.equal	(		v1,
			v2,
			epsilon = epsilon
	)

Returns 1 if two values v1 and v2 are equal otherwise returns 0

Definition at line 70 of file general_math.py.

def math_tools.general_math.gauss_kernel_cosine	(		phi,
			c,
			h
	)

This function is translated from Matlab code written by Gabriel.
The Matlab code can be found in:
/home/nimasoft/Dropbox/software/matlab/packages/gabriell/Periodic_learning_v5_fafo_simulink/gauss_kernel_cosine.m

Definition at line 209 of file general_math.py.

def math_tools.general_math.gauss_rec	(		phi,
			W_arr,
			r,
			c,
			h,
			N_w
	)

This function is translated from simulink model created by Gabriel
The .mdl file can be found in:
/home/nimasoft/Dropbox/software/matlab/packages/gabriell/Periodic_learning_v5_fafo_simulink/output_dyn_system_v4_simple.m

phi, r, h must be scalar values
c, W_arr  must be arrays of minimum length N_w
N_w = length(W_arr)

Definition at line 180 of file general_math.py.

def math_tools.general_math.inv

(

x

)

Definition at line 39 of file general_math.py.

def math_tools.general_math.round

(

x

)

Definition at line 48 of file general_math.py.

def math_tools.general_math.round_mat

(

A

)

Definition at line 60 of file general_math.py.

def math_tools.general_math.sign

(

x

)

Returns 1 if x is positive, -1 if negative and 0 if abs(x) is smaller than epsilon

Definition at line 83 of file general_math.py.

def math_tools.general_math.sign_choice	(		x,
			y,
			z
	)

Definition at line 31 of file general_math.py.

def math_tools.general_math.solve_quadratic_inequality	(		a,
			b,
			c
	)

solves the quadratic inequality "a*x^2 + b*x + c > 0" for "x"
and returns a feasibility set for "x" so that the inequality holds

Definition at line 130 of file general_math.py.

Variable Documentation

tuple deg_to_rad = (math.pi/180.00)

Definition at line 22 of file general_math.py.

float epsilon = 0.00001

Definition at line 25 of file general_math.py.

int err_code = 0

Definition at line 28 of file general_math.py.

tuple f0 = float(0)

Definition at line 26 of file general_math.py.

tuple f1 = float(1)

Definition at line 27 of file general_math.py.

tuple infinity = float("inf")

Definition at line 29 of file general_math.py.

int pi = 1

Definition at line 21 of file general_math.py.

tuple rad_to_deg = (180.00/math.pi)

Definition at line 23 of file general_math.py.

int two_pi = 2

Definition at line 20 of file general_math.py.