pyacs.lib.euclid module¶

euclid graphics maths module

Documentation and tests are included in the file “euclid.rst”, or online at https://github.com/ezag/pyeuclid/blob/master/euclid.rst

class pyacs.lib.euclid.Vector2(x=0, y=0)[source]¶

Bases: object

x¶

y¶

copy()¶

magnitude()¶

magnitude_squared()[source]¶

normalize()[source]¶

normalized()[source]¶

dot(other)[source]¶

cross()[source]¶

reflect(normal)[source]¶

angle(other)[source]¶

Return the angle to the vector other

project(other)[source]¶

Return one vector projected on the vector other

class pyacs.lib.euclid.Vector3(x=0, y=0, z=0)[source]¶

Bases: object

x¶

y¶

z¶

copy()¶

magnitude()¶

magnitude_squared()[source]¶

normalize()[source]¶

normalized()[source]¶

dot(other)[source]¶

cross(other)[source]¶

reflect(normal)[source]¶

rotate_around(axis, theta)[source]¶

Return the vector rotated around axis through angle theta. Right hand rule applies

angle(other)[source]¶

Return the angle to the vector other

project(other)[source]¶

Return one vector projected on the vector other

class pyacs.lib.euclid.Matrix3[source]¶

Bases: object

copy()¶

identity()[source]¶

scale(x, y)[source]¶

translate(x, y)[source]¶

rotate(angle)[source]¶

classmethod new_identity()[source]¶

classmethod new_scale(x, y)[source]¶

classmethod new_translate(x, y)[source]¶

classmethod new_rotate(angle)[source]¶

determinant()[source]¶

inverse()[source]¶

a¶

b¶

c¶

e¶

f¶

g¶

i¶

j¶

k¶

class pyacs.lib.euclid.Matrix4[source]¶

Bases: object

copy()¶

transform(other)[source]¶

identity()[source]¶

scale(x, y, z)[source]¶

translate(x, y, z)[source]¶

rotatex(angle)[source]¶

rotatey(angle)[source]¶

rotatez(angle)[source]¶

rotate_axis(angle, axis)[source]¶

rotate_euler(heading, attitude, bank)[source]¶

rotate_triple_axis(x, y, z)[source]¶

transpose()[source]¶

transposed()[source]¶

classmethod new(*values)[source]¶

classmethod new_identity()[source]¶

classmethod new_scale(x, y, z)[source]¶

classmethod new_translate(x, y, z)[source]¶

classmethod new_rotatex(angle)[source]¶

classmethod new_rotatey(angle)[source]¶

classmethod new_rotatez(angle)[source]¶

classmethod new_rotate_axis(angle, axis)[source]¶

classmethod new_rotate_euler(heading, attitude, bank)[source]¶

classmethod new_rotate_triple_axis(x, y, z)[source]¶

classmethod new_look_at(eye, at, up)[source]¶

classmethod new_perspective(fov_y, aspect, near, far)[source]¶

determinant()[source]¶

inverse()[source]¶

get_quaternion()[source]¶

Returns a quaternion representing the rotation part of the matrix. Taken from: http://web.archive.org/web/20041029003853/http://www.j3d.org/matrix_faq/matrfaq_latest.html#Q55

a¶

b¶

c¶

d¶

e¶

f¶

g¶

h¶

i¶

j¶

k¶

l¶

m¶

n¶

o¶

p¶

class pyacs.lib.euclid.Quaternion(w=1, x=0, y=0, z=0)[source]¶

Bases: object

w¶

x¶

y¶

z¶

copy()¶

magnitude()¶

magnitude_squared()[source]¶

identity()[source]¶

rotate_axis(angle, axis)[source]¶

rotate_euler(heading, attitude, bank)[source]¶

rotate_matrix(m)[source]¶

conjugated()[source]¶

normalize()[source]¶

normalized()[source]¶

get_angle_axis()[source]¶

get_euler()[source]¶

get_matrix()[source]¶

classmethod new_identity()[source]¶

classmethod new_rotate_axis(angle, axis)[source]¶

classmethod new_rotate_euler(heading, attitude, bank)[source]¶

classmethod new_rotate_matrix(m)[source]¶

classmethod new_interpolate(q1, q2, t)[source]¶

class pyacs.lib.euclid.Geometry[source]¶

Bases: object

intersect(other)[source]¶

connect(other)[source]¶

distance(other)[source]¶

class pyacs.lib.euclid.Point2(x=0, y=0)[source]¶

Bases: pyacs.lib.euclid.Vector2, pyacs.lib.euclid.Geometry

intersect(other)[source]¶

connect(other)[source]¶

x¶

y¶

class pyacs.lib.euclid.Line2(*args)[source]¶

Bases: pyacs.lib.euclid.Geometry

p¶

v¶

copy()¶

property p1¶

property p2¶

intersect(other)[source]¶

connect(other)[source]¶

class pyacs.lib.euclid.Ray2(*args)[source]¶

Bases: pyacs.lib.euclid.Line2

p¶

v¶

class pyacs.lib.euclid.LineSegment2(*args)[source]¶

Bases: pyacs.lib.euclid.Line2

magnitude_squared()[source]¶

property length¶

p¶

v¶

class pyacs.lib.euclid.Circle(center, radius)[source]¶

Bases: pyacs.lib.euclid.Geometry

c¶

r¶

copy()¶

intersect(other)[source]¶

connect(other)[source]¶

tangent_points(p)[source]¶

class pyacs.lib.euclid.Point3(x=0, y=0, z=0)[source]¶

Bases: pyacs.lib.euclid.Vector3, pyacs.lib.euclid.Geometry

intersect(other)[source]¶

connect(other)[source]¶

x¶

y¶

z¶

class pyacs.lib.euclid.Line3(*args)[source]¶

Bases: object

p¶

v¶

copy()¶

property p1¶

property p2¶

intersect(other)[source]¶

connect(other)[source]¶

class pyacs.lib.euclid.Ray3(*args)[source]¶

Bases: pyacs.lib.euclid.Line3

p¶

v¶

class pyacs.lib.euclid.LineSegment3(*args)[source]¶

Bases: pyacs.lib.euclid.Line3

magnitude_squared()[source]¶

property length¶

p¶

v¶

class pyacs.lib.euclid.Sphere(center, radius)[source]¶

Bases: object

c¶

r¶

copy()¶

intersect(other)[source]¶

connect(other)[source]¶

class pyacs.lib.euclid.Plane(*args)[source]¶

Bases: object

n¶

k¶

copy()¶

intersect(other)[source]¶

connect(other)[source]¶