polymerist.maths.linearalg.affine

Utilities to streamline creation of 4x4 affine transformation matrices of 3D linear transformations in homogeneous coordinates

Attributes

`Array4x4`
`AffineMatrix`

`xyzTrans`(→ AffineMatrix)	Returns rigid affine matrix which performs an isometric translation by "x", "y", and "z" units
`xRot`(→ AffineMatrix)	Returns rigid affine matrix which rotates about the positive x-axis by "angle_rad" radians
`yRot`(→ AffineMatrix)	Returns rigid affine matrix which rotates about the positive y-axis by "angle_rad" radians
`zRot`(→ AffineMatrix)	Returns rigid affine matrix which rotates about the positive z-axis by "angle_rad" radians
`randRot`(→ AffineMatrix)	Returns an affine matrix for a rotation by some random angle(s) about the x, y, and z axes (or any subset of those axes)
`xyzScale`(→ AffineMatrix)	Returns rigid affine matrix which scales basis vectors by factors of "sx", "sy", and "sz" units

polymerist.maths.linearalg.affine.xyzTrans(x: float = 0.0, y: float = 0.0, z: float = 0.0) → AffineMatrix[source]: Returns rigid affine matrix which performs an isometric translation by “x”, “y”, and “z” units Returns the Identity matrix in absence of passed arguments

polymerist.maths.linearalg.affine.xRot(angle_rad: float = 0.0) → AffineMatrix[source]: Returns rigid affine matrix which rotates about the positive x-axis by “angle_rad” radians Returns the Identity matrix in absence of passed arguments

polymerist.maths.linearalg.affine.yRot(angle_rad: float = 0.0) → AffineMatrix[source]: Returns rigid affine matrix which rotates about the positive y-axis by “angle_rad” radians Returns the Identity matrix in absence of passed arguments

polymerist.maths.linearalg.affine.zRot(angle_rad: float = 0.0) → AffineMatrix[source]: Returns rigid affine matrix which rotates about the positive z-axis by “angle_rad” radians Returns the Identity matrix in absence of passed arguments

polymerist.maths.linearalg.affine.randRot(about_x: bool = True, about_y: bool = True, about_z: bool = True) → AffineMatrix[source]: Returns an affine matrix for a rotation by some random angle(s) about the x, y, and z axes (or any subset of those axes)

polymerist.maths.linearalg.affine.xyzScale(sx: float = 1.0, sy: float = 1.0, sz: float = 1.0) → AffineMatrix[source]: Returns rigid affine matrix which scales basis vectors by factors of “sx”, “sy”, and “sz” units Returns the Identity matrix in absence of passed arguments