10.1.4.6. Vector

class Musica.Geometry.Vector.HomogeneousVector2D(*args)

Bases: Musica.Geometry.Vector.VectorAbc

2D Homogeneous Coordinate Vector

__data_type__

alias of float

__len__()

_check_arguments(args)

to_vector()

w

class Musica.Geometry.Vector.NormalisedVector2D(array)

Bases: Musica.Geometry.Vector.VectorAbc

2D Normalised Vector

__mul__(scale)

Return a new vector equal to the self scaled by scale

class Musica.Geometry.Vector.Vector2D(*args)

Bases: Musica.Geometry.Vector.VectorFloatMixin, Musica.Geometry.Vector.VectorArithmeticMixin, Musica.Geometry.Vector.Vector2DBase

2D Vector

Example of usage:

Vector(1, 3)
Vector((1, 3))
Vector([1, 3])
Vector(iterable)
Vector(vector)

classmethod from_angle(angle)

Create the unitary vector (cos(angle), sin(angle)). The angle is in degree.

classmethod middle(p0, p1)

Return the middle point.

rint()

to_normalised()

Return a normalised vector

class Musica.Geometry.Vector.Vector2DBase(*args)

Bases: Musica.Geometry.Vector.VectorAbc

Example of usage:

Vector(1, 3)
Vector((1, 3))
Vector([1, 3])
Vector(iterable)
Vector(vector)

__len__()

_check_arguments(args)

transform(transformation)

class Musica.Geometry.Vector.Vector2DInt(*args)

Bases: Musica.Geometry.Vector.VectorIntMixin, Musica.Geometry.Vector.VectorArithmeticMixin, Musica.Geometry.Vector.Vector2DBase

Example of usage:

Vector(1, 3)
Vector((1, 3))
Vector([1, 3])
Vector(iterable)
Vector(vector)

class Musica.Geometry.Vector.VectorAbc(array_size, v_size)

Bases: Musica.Geometry.Primitive.Primitive2D

__eq__(v1, v2)

self == other

__getitem__(a_slice)

__iter__()

__len__()

__nonzero__()

__setitem__(index, value)

clone()

Return a copy of self

to_int_list()

to_numpy()

transform(transformation)

__data_type__ = None

__hash__ = None

array

v

x

y

class Musica.Geometry.Vector.VectorArithmeticMixin

Bases: object

__abs__()

Return a new vector equal to abs of self

__add__(other)

Return a new vector equal to the addition of self and other

__iadd__(other)

Add other to self

__imul__(scale)

Scale self by scale

__isub__(other)

Return a new vector equal to the subtraction of self and other

__mul__(scale)

Return a new vector equal to the self scaled by scale

__neg__()

Return a new vector equal to the negation of self

__pos__()

Return a new vector equal to self

__sub__(other)

Return a new vector

anti_normal()

Return a new vector equal to self rotated of 90 degree in the clockwise direction

cross(other)

Return the cross product of self with other

dot(other)

Return the dot product of self with other

magnitude_square()

Return the square of the magnitude of the vector

normal()

Return a new vector equal to self rotated of 90 degree in the counter clockwise direction

parity()

Return a new vector equal to self rotated of 180 degree

class Musica.Geometry.Vector.VectorFloatMixin

Bases: object

__data_type__

alias of float

__itruediv__(scale)

Scale self by 1/scale

__truediv__(scale)

Return a new vector equal to the self dvivided by scale

almost_equal(v1, v2, rtol=1e-05, atol=1e-08, equal_nan=False)

self ~= other

bounding_box()

cos_with(direction)

Return the cosinus of self with direction

deviation_with(direction)

Return the deviation of self with other

inverse_tan()

Return the inverse tangent

is_orthogonal(other)

Self is orthogonal with other

is_parallel(other)

Self is parallel with other

magnitude()

Return the magnitude of the vector

normalise()

Normalise the vector

orientation()

Return the orientation in degree

orientation_with(direction)

Return the angle of self on direction

projection_on(direction)

Return the projection of self on direction

rotate(angle, counter_clockwise=True)

Return a new vector equal to self rotated of angle degree in the counter clockwise direction

sin_with(direction)

Return the sinus of self with other

tan()

Return the tangent

class Musica.Geometry.Vector.VectorIntMixin

Bases: object

__data_type__

alias of int

bounding_box()