# gavo.utils.mathtricks module¶

Math-related helper functions.

class `gavo.utils.mathtricks.``Matrix3`(row1, row2, row3)[source]

Bases: `object`

A quick and easy 3d matrix.

This is just so we don’t depend on numpy for trivial stuff. The components are stored in a tuple of rows.

`getColumns`()[source]

returns the column vectors of this matrix in a 3-tuple.

`indices` = [0, 1, 2]
`matMul`(mat)[source]

returns the result of multiplying mat to self from the right.

`vecMul`(vec)[source]

returns the result of right-multiplying self to vec.

The sequence vec is interpreted as a column vector.

`gavo.utils.mathtricks.``cartToSpher`(unitvector)[source]

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.

`gavo.utils.mathtricks.``crossprod3`(seq1, seq2)[source]
`gavo.utils.mathtricks.``dotprod3`(seq1, seq2, inds=(0, 1, 2))[source]
`gavo.utils.mathtricks.``findMinimum`(f, left, right, minInterval=3e-08)[source]

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.

class `gavo.utils.mathtricks.``getHexToBin`(arg)[source]

returns a dictionary mapping hex chars to their binary expansions.

classmethod `impl`()[source]
`gavo.utils.mathtricks.``getRotX`(angle)[source]

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

`gavo.utils.mathtricks.``getRotZ`(angle)[source]

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

`gavo.utils.mathtricks.``normalize3`(vec)[source]
`gavo.utils.mathtricks.``roundO2M`(num)[source]

returns a plausible rounding of num.

This will round up the last couple of digits. For now, this will only do cardinals. >>> roundO2M(0) 0 >>> roundO2M(2.5) 2 >>> roundO2M(15) 20 >>> roundO2M(9900) 10000 >>> roundO2M(8321) 8400 >>> roundO2M(3.2349302e9) 3300000000

`gavo.utils.mathtricks.``spherDist`(vec1, vec2)[source]

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

`gavo.utils.mathtricks.``spherToCart`(theta, phi)[source]

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

`gavo.utils.mathtricks.``toBinary`(anInt, desiredLength=None)[source]
```>>> toBinary(349)