Package pygeodesy :: Module vector3dBase :: Class Vector3dBase

Class Vector3dBase

  object --+        
           |        
named._Named --+    
               |    
named._NamedBase --+
                   |
                  Vector3dBase

Known Subclasses:

vector3d.Vector3d

(INTERNAL) Generic 3-D vector base class.

Instance Methods

__abs__(self)
Return the norm of this vector.

__add__(self, other)
Add this to an other vector (Vector3d).

__bool__(self)
Is this vector non-zero?

__ceil__(self)
Return a vector with the ceil of these components.

__cmp__(self, other)
Compare this and an other vector (Vector3d).

__div__(self, scalar)
Divide this vector by a scalar, this / scalar.

__divmod__(self, other)
Not implemented.

__eq__(self, other)
Is this vector equal to an other vector?

__float__(self)
Not implemented.

__floor__(self)
Return a vector with the floor of these components.

__floordiv__(self, other)
Not implemented.

__format__(self, *other)
Not implemented.

__ge__(self, other)
Is this vector longer than or equal to an other vector?

__gt__(self, other)
Is this vector longer than an other vector?

__hash__(self)
Return this instance' hash.

__iadd__(self, other)
Add this and an other vector in-place, this += other.

__idiv__(self, scalar)
Divide this vector by a scalar in-place, this /= scalar.

__ifloordiv__(self, other)
Not implemented.

__imatmul__(self, other)
Cross multiply this and an other vector in-place, this @= other.

__imod__(self, other)
Not implemented.

__imul__(self, scalar)
Multiply this vector by a scalar in-place, this *= scalar.

__init__(self, x_xyz, y=0, z=0, ll=None, name='')
New Vector3d or Vector3dBase instance.

__int__(self)
Return a vector with the int of these components.

__ipow__(self, other, *mod)
Not implemented.

__isub__(self, other)
Subtract an other vector from this one in-place, this -= other.

__itruediv__(self, scalar)
Divide this vector by a scalar in-place, this /= scalar.

__le__(self, other)
Is this vector shorter than or equal to an other vector?

__long__(self)
Return a vector with the int of these components.

__lt__(self, other)
Is this vector shorter than an other vector?

__matmul__(self, other)
Compute the cross product of this and an other vector, this @ other.

__mod__(self, other)
Not implemented.

__mul__(self, scalar)
Multiply this vector by a scalar, this * scalar.

__ne__(self, other)
Is this vector not equal to an other vector?

__neg__(self)
Return this vector in opposite direction.

__nonzero__(self)
Is this vector non-zero?

__pos__(self)
Return this vector as-is or a copy.

__pow__(self, other, *mod)
Not implemented.

__radd__(self, other)
Add this to an other vector (Vector3d).

__rdiv__(self, scalar)
Not implemented.

__rdivmod__(self, other)
Not implemented.

__rfloordiv__(self, other)
Not implemented.

__rmatmul__(self, other)
Compute the cross product of an other and this vector, other @ this.

__rmod__(self, other)
Not implemented.

__rmul__(self, scalar)
Multiply this vector by a scalar, this * scalar.

__round__(self, *ndigits)
Return a vector with these components rounded.

__rpow__(self, other, *mod)
Not implemented.

__rsub__(self, other)
Subtract this vector from an other vector, other - this.

__rtruediv__(self, scalar)
Not implemented.

__sub__(self, other)
Subtract an other vector from this vector, this - other.

__truediv__(self, scalar)
Divide this vector by a scalar, this / scalar.

__trunc__(self)
Return a vector with the trunc of these components.

angleTo(self, other, vSign=None, wrap=False)
Compute the angle between this and an other vector.

apply(self, fun2, other_x, *y_z, **fun2_kwds)
Apply a 2-argument function pairwise to the components of this and an other vector.

cmp(self, other)
Compare this and an other vector (Vector3d).

cross(self, other, raiser=None, eps0=2.220446049250313e-16)
Compute the cross product of this and an other vector.

dividedBy(self, divisor)
Divide this vector by a scalar.

dot(self, other)
Compute the dot (scalar) product of this and an other vector.

equals(self, other, units=False)
DEPRECATED, use method isequalTo.

equirectangular(self, other)
Approximate the different between this and an other vector.

intermediateTo(self, other, fraction, **unused)
Locate the vector at a given fraction between (or along) this and an other vector.

isconjugateTo(self, other, minum=1, eps=2.220446049250313e-16)
Determine whether this and an other vector are conjugates.

isequalTo(self, other, units=False, eps=2.220446049250313e-16)
Check if this and an other vector are equal or equivalent.

minus(self, other)
Subtract an other vector from this vector.

minus_(self, other_x, *y_z)
Subtract separate X, Y and Z components from this vector.

negate(self)
Return this vector in opposite direction.

others(self, *other, **name_other_up)
Refined class comparison.

plus(self, other)
Add this vector and an other vector.

plus_(self, other_x, *y_z)
Sum of this vector and separate X, Y and Z components.

rotate(self, axis, theta)
Rotate this vector around an axis by a specified angle.

rotateAround(self, axis, theta)
DEPRECATED, use method rotate.

sum(self, other)
Add this vector and an other vector.

times(self, factor)
Multiply this vector by a scalar.

times_(self, other_x, *y_z)
Multiply this vector's components by separate X, Y and Z factors.

to3xyz(self)
DEPRECATED, use property xyz.

toStr(self, prec=5, fmt='(%s)', sep=', ')
Return a string representation of this vector.

unit(self, ll=None)
Normalize this vector to unit length.

Inherited from named._NamedBase: __repr__, __str__, toRepr

Inherited from named._Named: attrs, classof, copy, dup, methodname, rename, toStr2

Inherited from object: __delattr__, __getattribute__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

Properties
	crosserrors Class `property` with retrievable name.
	euclid Approximate the length (norm, magnitude) of this vector (`Float`).
	homogeneous Get this vector's homogeneous representation (Vector3d).
	length Get the length (norm, magnitude) of this vector (`Float`).
	length2 Get the length squared of this vector (`Float`).
	x Get the X component (`float`).
	x2y2z2 Get the X, Y and Z components squared (3-tuple `(x2, y2, z**2)`).
	xyz Get the X, Y and Z components (Vector3Tuple`(x, y, z)`).
	y Get the Y component (`float`).
	z Get the Z component (`float`).
Inherited from `named._Named`: `classname`, `classnaming`, `iteration`, `name`, `named`, `named2`, `named3`, `named4`, `sizeof` Inherited from `object`: `__class__`

Method Details

abs (self)

Return the norm of this vector.

Returns:: Norm, unit length (float);

add (self, other)
(Addition operator)

Add this to an other vector (Vector3d).

Returns:

Vectorial sum (Vector3d).

Raises:

TypeError - Incompatible other type.

ceil (self)

Return a vector with the ceil of these components.

Returns:: Ceil-ed (Vector3d).

cmp (self, other)
(Comparison operator)

Compare this and an other vector (Vector3d).

Returns:

-1, 0 or +1 (int).

Raises:

TypeError - Incompatible other type.

div (self, scalar)

Divide this vector by a scalar, this / scalar.

Arguments:

scalar - The divisor (scalar).

Returns:

Quotient (Vector3d).

Raises:

TypeError - Non-scalar scalar.

eq (self, other)
(Equality operator)

Is this vector equal to an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if equal, False otherwise.

Raises:

TypeError - Incompatible other type.

floor (self)

Return a vector with the floor of these components.

Returns:: Floor-ed (Vector3d).

format (self, *other)

Not implemented.

Overrides: object.__format__

ge (self, other)
(Greater-than-or-equals operator)

Is this vector longer than or equal to an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if so, False otherwise.

Raises:

TypeError - Incompatible other type.

gt (self, other)
(Greater-than operator)

Is this vector longer than an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if so, False otherwise.

Raises:

TypeError - Incompatible other type.

hash (self)
(Hashing function)

Return this instance' hash.

Overrides: object.__hash__

iadd (self, other)

Add this and an other vector in-place, this += other.

Arguments:

other - The other vector (Vector3d).

Raises:

TypeError - Incompatible other type.

idiv (self, scalar)

Divide this vector by a scalar in-place, this /= scalar.

Arguments:

scalar - The divisor (scalar).

Raises:

TypeError - Non-scalar scalar.

imatmul (self, other)

Cross multiply this and an other vector in-place, this @= other.

Arguments:

other - The other vector (Vector3d).

Raises:

TypeError - Incompatible other type.

Overrides: named._Named.__imatmul__

See Also: Luciano Ramalho, "Fluent Python", O'Reilly, 2016 p. 397+, 2022 p. 578+.

imul (self, scalar)

Multiply this vector by a scalar in-place, this *= scalar.

Arguments:

scalar - Factor (scalar).

Raises:

TypeError - Non-scalar scalar.

init (self, x_xyz, y=0, z=0, ll=None, name='')
(Constructor)

New Vector3d or Vector3dBase instance.

The vector may be normalised or use x, y, z for position and distance from earth centre or height relative to the surface of the earth' sphere or ellipsoid.

Arguments:

x_xyz - X component of vector (scalar) or a (3-D) vector (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple, Vector4Tuple or a tuple or list of 3+ scalar items).
y - Y component of vector (scalar), ignored if x_xyz is not scalar, otherwise same units as x_xyz.
z - Z component of vector (scalar), ignored if x_xyz is not scalar, otherwise same units as x_xyz.
ll - Optional latlon reference (LatLon).
name - Optional name (str).

Raises:

VectorError - Invalid x_xyz.

Overrides: object.__init__

int (self)

Return a vector with the int of these components.

Returns:: Int-ed (Vector3d).

isub (self, other)

Subtract an other vector from this one in-place, this -= other.

Arguments:

other - The other vector (Vector3d).

Raises:

TypeError - Incompatible other type.

itruediv (self, scalar)

Divide this vector by a scalar in-place, this /= scalar.

Arguments:

scalar - The divisor (scalar).

Raises:

TypeError - Non-scalar scalar.

le (self, other)
(Less-than-or-equals operator)

Is this vector shorter than or equal to an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if so, False otherwise.

Raises:

TypeError - Incompatible other type.

long (self)

Return a vector with the int of these components.

Returns:: Int-ed (Vector3d).

lt (self, other)
(Less-than operator)

Is this vector shorter than an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if so, False otherwise.

Raises:

TypeError - Incompatible other type.

matmul (self, other)

Compute the cross product of this and an other vector, this @ other.

Arguments:

other - The other vector (Vector3d).

Returns:

Cross product (Vector3d).

Raises:

TypeError - Incompatible other type.

Overrides: named._Named.__matmul__

mul (self, scalar)

Multiply this vector by a scalar, this * scalar.

Arguments:

scalar - Factor (scalar).

Returns:

Product (Vector3d).

ne (self, other)

Is this vector not equal to an other vector?

Arguments:

other - The other vector (Vector3d).

Returns:

True if so, False otherwise.

Raises:

TypeError - Incompatible other type.

neg (self)

Return this vector in opposite direction.

Returns:: New, opposite vector (Vector3d).

pos (self)

Return this vector as-is or a copy.

Returns:: This instance (Vector3d)

radd (self, other)
(Right-side addition operator)

Add this to an other vector (Vector3d).

Returns:

Vectorial sum (Vector3d).

Raises:

TypeError - Incompatible other type.

rmatmul (self, other)

Compute the cross product of an other and this vector, other @ this.

Arguments:

other - The other vector (Vector3d).

Returns:

Cross product (Vector3d).

Raises:

TypeError - Incompatible other type.

Overrides: named._Named.__rmatmul__

rmul (self, scalar)

Multiply this vector by a scalar, this * scalar.

Arguments:

scalar - Factor (scalar).

Returns:

Product (Vector3d).

round (self, *ndigits)

Return a vector with these components rounded.

Arguments:

ndigits - Optional number of digits (int).

Returns:

Rounded (Vector3d).

rsub (self, other)

Subtract this vector from an other vector, other - this.

Arguments:

other - The other vector (Vector3d).

Returns:

Difference (Vector3d).

Raises:

TypeError - Incompatible other type.

sub (self, other)
(Subtraction operator)

Subtract an other vector from this vector, this - other.

Arguments:

other - The other vector (Vector3d).

Returns:

Difference (Vector3d).

Raises:

TypeError - Incompatible other type.

truediv (self, scalar)

Divide this vector by a scalar, this / scalar.

Arguments:

scalar - The divisor (scalar).

Returns:

Quotient (Vector3d).

Raises:

TypeError - Non-scalar scalar.

trunc (self)

Return a vector with the trunc of these components.

Returns:: Trunc-ed (Vector3d).

angleTo (self, other, vSign=None, wrap=False)

Compute the angle between this and an other vector.

Arguments:

other - The other vector (Vector3d).
vSign - Optional vector, if supplied (and out of the plane of this and the other), angle is signed positive if this->other is clockwise looking along vSign or negative in opposite direction, otherwise angle is unsigned.
wrap - If True, wrap/unroll the angle to +/-PI (bool).

Returns:

Angle (radians).

Raises:

TypeError - If other or vSign not a Vector3d.

apply (self, fun2, other_x, *y_z, **fun2_kwds)

Apply a 2-argument function pairwise to the components of this and an other vector.

Arguments:

fun2 - 2-Argument callable (any(scalar, scalar), return a scalar or INT0 result.
other_x - Other X component (scalar) or a vector with X, Y and Z components (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple or Vector4Tuple).
y_z - Other Y and Z components, positional (scalar, scalar).
fun2_kwds - Optional keyword arguments for fun2.

Returns:

New, applied vector (Vector3d).

Raises:

ValueError - Invalid other_x or y_z.

cmp (self, other)

Compare this and an other vector (Vector3d).

Returns:

-1, 0 or +1 (int).

Raises:

TypeError - Incompatible other type.

cross (self, other, raiser=None, eps0=2.220446049250313e-16)

Compute the cross product of this and an other vector.

Arguments:

other - The other vector (Vector3d).
raiser - Optional, CrossError label if raised (str, non-NN).
eps0 - Near-zero tolerance (scalar), same units as x, y, and z.

Returns:

Cross product (Vector3d).

Raises:

CrossError - Zero or near-zero cross product and both raiser and pygeodesy.crosserrors set.
TypeError - Incompatible other type.

dividedBy (self, divisor)

Divide this vector by a scalar.

Arguments:

divisor - The divisor (scalar).

Returns:

New, scaled vector (Vector3d).

Raises:

TypeError - Non-scalar divisor.
VectorError - Invalid or zero divisor.

dot (self, other)

Compute the dot (scalar) product of this and an other vector.

Arguments:

other - The other vector (Vector3d).

Returns:

Dot product (float).

Raises:

TypeError - Incompatible other type.

equals (self, other, units=False)

DEPRECATED, use method isequalTo.

Decorators:

@deprecated_method

equirectangular (self, other)

Approximate the different between this and an other vector.

Arguments:

other - Vector to subtract (Vector3dBase).

Returns:

The lenght squared of the difference (Float).

Raises:

TypeError - Incompatible other type.

See Also: Property length2.

intermediateTo (self, other, fraction, **unused)

Locate the vector at a given fraction between (or along) this and an other vector.

Arguments:

other - The other vector (Vector3d).
fraction - Fraction between both vectors (scalar, 0.0 for this and 1.0 for the other vector).

Returns:

Intermediate vector (Vector3d).

Raises:

TypeError - Incompatible other type.

isconjugateTo (self, other, minum=1, eps=2.220446049250313e-16)

Determine whether this and an other vector are conjugates.

Arguments:

other - The other vector (Cartesian, Ecef9Tuple, Vector3d, Vector3Tuple or Vector4Tuple).
minum - Minimal number of conjugates required (int, 0..3).
eps - Tolerance for equality and conjugation (scalar), same units as x, y, and z.

Returns:

True if both vector's components either match or at least minum have opposite signs.

Raises:

TypeError - Incompatible other type.

See Also: Method isequalTo.

isequalTo (self, other, units=False, eps=2.220446049250313e-16)

Check if this and an other vector are equal or equivalent.

Arguments:

other - The other vector (Vector3d).
units - Optionally, compare the normalized, unit version of both vectors.
eps - Tolerance for equality (scalar), same units as x, y, and z.

Returns:

True if vectors are identical, False otherwise.

Raises:

TypeError - Incompatible other type.

See Also: Method isconjugateTo.

minus (self, other)

Subtract an other vector from this vector.

Arguments:

other - The other vector (Vector3d).

Returns:

New vector difference (Vector3d).

Raises:

TypeError - Incompatible other type.

minus_ (self, other_x, *y_z)

Subtract separate X, Y and Z components from this vector.

Arguments:

other_x - X component (scalar) or a vector's X, Y, and Z components (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple, Vector4Tuple).
y_z - Y and Z components (scalar, scalar), ignored if other_x is not scalar.

Returns:

New, vectiorial vector (Vector3d).

Raises:

ValueError - Invalid other_x or y_z.

negate (self)

Return this vector in opposite direction.

Returns:: New, opposite vector (Vector3d).

others (self, *other, **name_other_up)

Refined class comparison.

Arguments:

other - The other vector (Vector3d).
name_other_up - Overriding name=other and up=1 keyword arguments.

Returns:

The other if compatible.

Raises:

TypeError - Incompatible other type.

Overrides: named._NamedBase.others

plus (self, other)

Add this vector and an other vector.

Arguments:

other - The other vector (Vector3d).

Returns:

Vectorial sum (Vector3d).

Raises:

TypeError - Incompatible other type.

plus_ (self, other_x, *y_z)

Sum of this vector and separate X, Y and Z components.

Arguments:

other_x - X component (scalar) or a vector's X, Y, and Z components (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple, Vector4Tuple).
y_z - Y and Z components (scalar, scalar), ignored if other_x is not scalar.

Returns:

New, vectiorial vector (Vector3d).

Raises:

ValueError - Invalid other_x or y_z.

rotate (self, axis, theta)

Rotate this vector around an axis by a specified angle.

Arguments:

axis - The axis being rotated around (Vector3d).
theta - The angle of rotation (radians).

Returns:

New, rotated vector (Vector3d).

rotateAround (self, axis, theta)

DEPRECATED, use method rotate.

Decorators:

@deprecated_method

sum (self, other)

Add this vector and an other vector.

Arguments:

other - The other vector (Vector3d).

Returns:

Vectorial sum (Vector3d).

Raises:

TypeError - Incompatible other type.

times (self, factor)

Multiply this vector by a scalar.

Arguments:

factor - Scale factor (scalar).

Returns:

New, scaled vector (Vector3d).

Raises:

TypeError - Non-scalar factor.

times_ (self, other_x, *y_z)

Multiply this vector's components by separate X, Y and Z factors.

Arguments:

other_x - X scale factor (scalar) or a vector's X, Y, and Z components as scale factors (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple, Vector4Tuple).
y_z - Y and Z scale factors (scalar, scalar), ignored if other_x is not scalar.

Returns:

New, scaled vector (Vector3d).

Raises:

ValueError - Invalid other_x or y_z.

to3xyz (self)

DEPRECATED, use property xyz.

Decorators:

@deprecated_method

toStr (self, prec=5, fmt='(%s)', sep=', ')

Return a string representation of this vector.

Arguments:

prec - Number of decimal places (int).
fmt - Enclosing format to use (str).
sep - Separator between components (str).

Returns:

Vector as "(x, y, z)" (str).

Overrides: named._Named.toStr

unit (self, ll=None)

Normalize this vector to unit length.

Arguments:

ll - Optional, original location (LatLon).

Returns:

Normalized vector (Vector3d).

Property Details

crosserrors

Class property with retrievable name.

Get method:: crosserrors(self) - Get CrossError exceptions (bool).
Set method:: crosserrors(self, raiser) - Raise or ignore CrossError exceptions (bool).

euclid

Approximate the length (norm, magnitude) of this vector (Float).

Get method:: euclid(self) - Approximate the length (norm, magnitude) of this vector (Float).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

See Also: Properties length and length2 and function pygeodesy.euclid_.

homogeneous

Get this vector's homogeneous representation (Vector3d).

Get method:: homogeneous(self) - Get this vector's homogeneous representation (Vector3d).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

length

Get the length (norm, magnitude) of this vector (Float).

Get method:: length(self) - Get the length (norm, magnitude) of this vector (Float).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

See Also: Properties length2 and euclid.

length2

Get the length squared of this vector (Float).

Get method:: length2(self) - Get the length squared of this vector (Float).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

See Also: Property length and method equirectangular.

x

Get the X component (float).

Get method:: x(self) - Get the X component (float).
Set method:: x(self, x) - Set the X component, if different (float).
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

x2y2z2

Get the X, Y and Z components squared (3-tuple (x**2, y**2, z**2)).

Get method:: x2y2z2(self) - Get the X, Y and Z components squared (3-tuple (x**2, y**2, z**2)).
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

xyz

Get the X, Y and Z components (Vector3Tuple(x, y, z)).

Get method:: xyz(self) - Get the X, Y and Z components (Vector3Tuple(x, y, z)).
Set method:: xyz(self, xyz) - Set the X, Y and Z components (Cartesian, Ecef9Tuple, Nvector, Vector3d, Vector3Tuple, Vector4Tuple or a tuple or list of 3+ scalar items).
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

y

Get the Y component (float).

Get method:: y(self) - Get the Y component (float).
Set method:: y(self, y) - Set the Y component, if different (float).
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

z

Get the Z component (float).

Get method:: z(self) - Get the Z component (float).
Set method:: z(self, z) - Set the Z component, if different (float).
Delete Method:: _fdel(inst) - Zap the cached/memoized property value.

Class Vector3dBase

__abs__ (self)

__add__ (self, other) (Addition operator)

__ceil__ (self)

__cmp__ (self, other) (Comparison operator)

__div__ (self, scalar)

__eq__ (self, other) (Equality operator)

__floor__ (self)

__format__ (self, *other)

__ge__ (self, other) (Greater-than-or-equals operator)

__gt__ (self, other) (Greater-than operator)

__hash__ (self) (Hashing function)

__iadd__ (self, other)

__idiv__ (self, scalar)

__imatmul__ (self, other)

__imul__ (self, scalar)

__init__ (self, x_xyz, y=0, z=0, ll=None, name='') (Constructor)

__int__ (self)

__isub__ (self, other)

__itruediv__ (self, scalar)

__le__ (self, other) (Less-than-or-equals operator)

__long__ (self)

__lt__ (self, other) (Less-than operator)

__matmul__ (self, other)

__mul__ (self, scalar)

__ne__ (self, other)

__neg__ (self)

__pos__ (self)

__radd__ (self, other) (Right-side addition operator)

__rmatmul__ (self, other)

__rmul__ (self, scalar)

__round__ (self, *ndigits)

__rsub__ (self, other)

__sub__ (self, other) (Subtraction operator)

__truediv__ (self, scalar)

__trunc__ (self)

angleTo (self, other, vSign=None, wrap=False)

apply (self, fun2, other_x, *y_z, **fun2_kwds)

cmp (self, other)

cross (self, other, raiser=None, eps0=2.220446049250313e-16)

dividedBy (self, divisor)

dot (self, other)

equals (self, other, units=False)

equirectangular (self, other)

intermediateTo (self, other, fraction, **unused)

isconjugateTo (self, other, minum=1, eps=2.220446049250313e-16)

isequalTo (self, other, units=False, eps=2.220446049250313e-16)

minus (self, other)

minus_ (self, other_x, *y_z)

negate (self)

others (self, *other, **name_other_up)

plus (self, other)

plus_ (self, other_x, *y_z)

rotate (self, axis, theta)

rotateAround (self, axis, theta)

sum (self, other)

times (self, factor)

times_ (self, other_x, *y_z)

to3xyz (self)

toStr (self, prec=5, fmt='(%s)', sep=', ')

unit (self, ll=None)

crosserrors

euclid

homogeneous

length

length2

x

x2y2z2

xyz

y

z

abs (self)

add (self, other)
(Addition operator)

ceil (self)

cmp (self, other)
(Comparison operator)

div (self, scalar)

eq (self, other)
(Equality operator)

floor (self)

format (self, *other)

ge (self, other)
(Greater-than-or-equals operator)

gt (self, other)
(Greater-than operator)

hash (self)
(Hashing function)

iadd (self, other)

idiv (self, scalar)

imatmul (self, other)

imul (self, scalar)

init (self, x_xyz, y=0, z=0, ll=None, name='')
(Constructor)

int (self)

isub (self, other)

itruediv (self, scalar)

le (self, other)
(Less-than-or-equals operator)

long (self)

lt (self, other)
(Less-than operator)

matmul (self, other)

mul (self, scalar)

ne (self, other)

neg (self)

pos (self)

radd (self, other)
(Right-side addition operator)

rmatmul (self, other)

rmul (self, scalar)

round (self, *ndigits)

rsub (self, other)

sub (self, other)
(Subtraction operator)

truediv (self, scalar)

trunc (self)