Package gavo :: Package utils :: Module mathtricks

Module mathtricks

Math-related helper functions.

Classes
	getHexToBin returns a dictionary mapping hex chars to their binary expansions.
	Matrix3 A quick and easy 3d matrix.

Functions

findMinimum(f, left, right, minInterval=3e-08)
returns an estimate for the minimum of the single-argument function f on (left,right).

source code

toBinary(anInt, desiredLength=None)
returns anInt as a string with its binary digits, MSB first.

source code

getRotX(angle)
returns a 3-rotation matrix for rotating angle radians around x.

source code

getRotZ(angle)
returns a 3-rotation matrix for rotating angle radians around z.

source code

spherToCart(theta, phi)
returns a 3-cartesian unit vector pointing to longitude theta, latitude phi.

source code

cartToSpher(unitvector)
returns spherical coordinates for a 3-unit vector.

source code

spherDist(vec1, vec2)
returns the spherical distance (in radian) between the unit vectors vec1 and vec2.

source code

Function Details

returns an estimate for the minimum of the single-argument function f on (left,right).

minInterval is a fourth of the smallest test interval considered.

For constant functions, a value close to left will be returned.

This function should only be used on functions having exactly one minimum in the interval.

returns anInt as a string with its binary digits, MSB first.

If desiredLength is given and the binary expansion is shorter, the value will be padded with zeros.

>>> toBinary(349)
'101011101'
>>> toBinary(349, 10)
'0101011101'

returns a 3-cartesian unit vector pointing to longitude theta, latitude phi.

The angles are in rad.

returns spherical coordinates for a 3-unit vector.

We do not check if unitvector actually *is* a unit vector. The returned angles are in rad.