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, see method float.

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

__floordiv__(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)
Not implemented, see method ints.

__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)
Not implemented, see method ints.

__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 the opposite of this vector.

__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.

bools(self)
Return the vector with bool components.

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 difference between this and an other vector.

fabs(self)
Return the vector with fabs components.

floats(self)
Return the vector with float components.

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

ints(self)
Return the vector with int components.

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 the opposite of this vector.

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, fma=False)
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: __format__, attrs, classof, copy, dup, methodname, rename, renamed, toStr2

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

Properties
	crosserrors Class `property` with a `.name` attribute.
	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)`).
	xyz3 Get the X, Y and Z components as `3-tuple`.
	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.

bool (self)

Is this vector non-zero?

See Also: Method bools.

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).

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=NN (str).

Raises:

VectorError - Invalid x_xyz, y or z.

Overrides: object.__init__

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.

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 the opposite of this vector.

Returns:: A negated copy (Vector3d)

nonzero (self)
(Boolean test operator)

Is this vector non-zero?

See Also: Method bools.

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 if raiser and crosserrors are both True.
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 difference between this and an other vector.

Arguments:

other - Vector to subtract (Vector3dBase).

Returns:

The length 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 the opposite of this vector.

Returns:: A negated copy (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, fma=False)

Rotate this vector around an axis by a specified angle.

Arguments:

axis - The axis being rotated around (Vector3d).
theta - The angle of rotation (radians).
fma - If True, use fused-multiply-add (bool).

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 a .name attribute.

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.

xyz3

Get the X, Y and Z components as 3-tuple.

Get method:: xyz3(self) - Get the X, Y and Z components as 3-tuple.
Set method:: _fset_error(inst, val) - Throws an AttributeError, always.
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)

__bool__ (self)

__ceil__ (self)

__cmp__ (self, other) (Comparison operator)

__div__ (self, scalar)

__eq__ (self, other) (Equality operator)

__floor__ (self)

__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)

__isub__ (self, other)

__itruediv__ (self, scalar)

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

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

__matmul__ (self, other)

__mul__ (self, scalar)

__ne__ (self, other)

__neg__ (self)

__nonzero__ (self) (Boolean test operator)

__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, fma=False)

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

xyz3

y

z

abs (self)

add (self, other)
(Addition operator)

bool (self)

ceil (self)

cmp (self, other)
(Comparison operator)

div (self, scalar)

eq (self, other)
(Equality operator)

floor (self)

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)

isub (self, other)

itruediv (self, scalar)

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

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

matmul (self, other)

mul (self, scalar)

ne (self, other)

neg (self)

nonzero (self)
(Boolean test operator)

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)