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== Introduction ==

<div class="mw-translate-fuzzy">
Jest to plik pythona zawierający kilka użytecznych funkcji do manipulowania wektorami w programie Freecad. Wystarczy wkleić następujący kod do pliku pythona po czym zaimportować go do swojego skryptu.<br /> Biblioteka ta jest zawarta w [[Draft Module]] i może być obsługiwana z interpretera pythona w następujący sposób:
Jest to plik pythona zawierający kilka użytecznych funkcji do manipulowania wektorami w programie Freecad. Wystarczy wkleić następujący kod do pliku pythona po czym zaimportować go do swojego skryptu.<br /> Biblioteka ta jest zawarta w [[Draft Module]] i może być obsługiwana z interpretera pythona w następujący sposób:
</div>
import DraftVecUtils
{{Code|code=
import DraftVecUtils
}}

Please note that this module was created a long time ago, when the {{incode|Vector}} class didn't have many of its methods. Now these operations can be done by the Vector class itself.

Although the {{incode|DraftVecUtils}} module still exists, and it is still used inside the [[Draft_Module|Draft Workbench]], it is probably better to use the {{incode|Vector}} methods directly for new developments.

== Functions ==

Wektory są cegłami budowlanymi niemal wszystkich operacji geometrycznych 3D, dlatego warto wiedzieć o nich trochę więcej, aby zrozumieć, jak te funkcje mogą być dla Ciebie użyteczne. Poniżej kilka dobrych stron, aby poznać podstawy matematyki wektorowej:
Wektory są cegłami budowlanymi niemal wszystkich operacji geometrycznych 3D, dlatego warto wiedzieć o nich trochę więcej, aby zrozumieć, jak te funkcje mogą być dla Ciebie użyteczne. Poniżej kilka dobrych stron, aby poznać podstawy matematyki wektorowej:
* http://en.wikipedia.org/wiki/Vector_space
* http://en.wikipedia.org/wiki/Vector_space
* http://maths-wiki.wikispaces.com/Vectors
* http://maths-wiki.wikispaces.com/Vectors
* http://darksleep.com/player/opengl_coordinate_system_and_matrix_math.html
* http://darksleep.com/player/opengl_coordinate_system_and_matrix_math.html
<pre>
"Vector math library for FreeCAD"


{{Code|code=
import math,FreeCAD
"""Vector math library for FreeCAD"""

import math
import FreeCAD
def add(first, other):
def add(first, other):
"add(Vector,Vector) - adds two vectors"
"""add(Vector,Vector) - adds two vectors"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return FreeCAD.Vector(first.x+other.x, first.y+other.y, first.z+other.z)
return FreeCAD.Vector(first.x+other.x, first.y+other.y, first.z+other.z)
def sub(first, other):
def sub(first, other):
"sub(Vector,Vector) - subtracts second vector from first one"
"""sub(Vector,Vector) - subtracts second vector from first one"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return FreeCAD.Vector(first.x-other.x, first.y-other.y, first.z-other.z)
return FreeCAD.Vector(first.x-other.x, first.y-other.y, first.z-other.z)
def scale(first,scalar):
def scale(first,scalar):
"scale(Vector,Float) - scales (multiplies) a vector by a factor"
"""scale(Vector,Float) - scales (multiplies) a vector by a factor"""
if isinstance(first,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector):
return FreeCAD.Vector(first.x*scalar, first.y*scalar, first.z*scalar)
return FreeCAD.Vector(first.x*scalar, first.y*scalar, first.z*scalar)
def length(first):
def length(first):
"lengh(Vector) - gives vector length"
"""lengh(Vector) - gives vector length"""
if isinstance(first,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector):
return math.sqrt(first.x*first.x + first.y*first.y + first.z*first.z)
return math.sqrt(first.x*first.x + first.y*first.y + first.z*first.z)
def dist(first, other):
def dist(first, other):
"dist(Vector,Vector) - returns the distance between both points/vectors"
"""dist(Vector,Vector) - returns the distance between both points/vectors"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return length(sub(first,other))
return length(sub(first,other))
def normalized(first):
def normalized(first):
"normalized(Vector) - returns a unit vector"
"""normalized(Vector) - returns a unit vector"""
if isinstance(first,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector):
l=length(first)
l=length(first)
return FreeCAD.Vector(first.x/l, first.y/l, first.z/l)
return FreeCAD.Vector(first.x/l, first.y/l, first.z/l)
def dotproduct(first, other):
def dotproduct(first, other):
"dotproduct(Vector,Vector) - returns the dot product of both vectors"
"""dotproduct(Vector,Vector) - returns the dot product of both vectors"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return (first.x*other.x + first.y*other.y + first.z*other.z)
return (first.x*other.x + first.y*other.y + first.z*other.z)
def crossproduct(first, other=FreeCAD.Vector(0,0,1)):
def crossproduct(first, other=FreeCAD.Vector(0,0,1)):
"crossproduct(Vector,Vector) - returns the cross product of both vectors.
"""crossproduct(Vector,Vector) - returns the cross product of both vectors.
If only one is specified, cross product is made with vertical axis, thus returning its perpendicular in XY plane"
If only one is specified, cross product is made with vertical axis, thus returning its perpendicular in XY plane"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return FreeCAD.Vector(first.y*other.z - first.z*other.y, first.z*other.x - first.x*other.z, first.x*other.y - first.y*other.x)
return FreeCAD.Vector(first.y*other.z - first.z*other.y, first.z*other.x - first.x*other.z, first.x*other.y - first.y*other.x)
def angle(first, other=FreeCAD.Vector(1,0,0)):
def angle(first, other=FreeCAD.Vector(1,0,0)):
"angle(Vector,Vector) - returns the angle in radians between the two vectors.
"""angle(Vector,Vector) - returns the angle in radians between the two vectors.
If only one is given, angle is between the vector and the horizontal East direction"
If only one is given, angle is between the vector and the horizontal East direction"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return math.acos(dotproduct(normalized(first),normalized(other)))
return math.acos(dotproduct(normalized(first),normalized(other)))
def project(first, other):
def project(first, other):
"project(Vector,Vector): projects the first vector onto the second one"
"""project(Vector,Vector): projects the first vector onto the second one"""
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
return scale(other, dotproduct(first,other)/dotproduct(other,other))
return scale(other, dotproduct(first,other)/dotproduct(other,other))
}}
</pre>
[[Category:Poweruser Documentation/pl]]


{{Powerdocnavi{{#translation:}}}}
{{clear}}
{{clear}}

Revision as of 19:56, 15 May 2020

Introduction

Jest to plik pythona zawierający kilka użytecznych funkcji do manipulowania wektorami w programie Freecad. Wystarczy wkleić następujący kod do pliku pythona po czym zaimportować go do swojego skryptu.
Biblioteka ta jest zawarta w Draft Module i może być obsługiwana z interpretera pythona w następujący sposób:

import DraftVecUtils

Please note that this module was created a long time ago, when the Vector class didn't have many of its methods. Now these operations can be done by the Vector class itself.

Although the DraftVecUtils module still exists, and it is still used inside the Draft Workbench, it is probably better to use the Vector methods directly for new developments.

Functions

Wektory są cegłami budowlanymi niemal wszystkich operacji geometrycznych 3D, dlatego warto wiedzieć o nich trochę więcej, aby zrozumieć, jak te funkcje mogą być dla Ciebie użyteczne. Poniżej kilka dobrych stron, aby poznać podstawy matematyki wektorowej:

"""Vector math library for FreeCAD"""

import math
import FreeCAD
 
def add(first, other):
    """add(Vector,Vector) - adds two vectors"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return FreeCAD.Vector(first.x+other.x, first.y+other.y, first.z+other.z)
 
def sub(first, other): 
    """sub(Vector,Vector) - subtracts second vector from first one"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return FreeCAD.Vector(first.x-other.x, first.y-other.y, first.z-other.z)
 
def scale(first,scalar):
    """scale(Vector,Float) - scales (multiplies) a vector by a factor"""
    if isinstance(first,FreeCAD.Vector):
        return FreeCAD.Vector(first.x*scalar, first.y*scalar, first.z*scalar)
 
def length(first):
    """lengh(Vector) - gives vector length"""
    if isinstance(first,FreeCAD.Vector):
        return math.sqrt(first.x*first.x + first.y*first.y + first.z*first.z)
 
def dist(first, other):
    """dist(Vector,Vector) - returns the distance between both points/vectors"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return length(sub(first,other))
 
def normalized(first):
    """normalized(Vector) - returns a unit vector"""
    if isinstance(first,FreeCAD.Vector):
        l=length(first)
        return FreeCAD.Vector(first.x/l, first.y/l, first.z/l)
 
def dotproduct(first, other):
    """dotproduct(Vector,Vector) - returns the dot product of both vectors"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return (first.x*other.x + first.y*other.y + first.z*other.z)
 
def crossproduct(first, other=FreeCAD.Vector(0,0,1)):
    """crossproduct(Vector,Vector) - returns the cross product of both vectors. 
    If only one is specified, cross product is made with vertical axis, thus returning its perpendicular in XY plane"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return FreeCAD.Vector(first.y*other.z - first.z*other.y, first.z*other.x - first.x*other.z, first.x*other.y - first.y*other.x)
 
def angle(first, other=FreeCAD.Vector(1,0,0)):
    """angle(Vector,Vector) - returns the angle in radians between the two vectors. 
    If only one is given, angle is between the vector and the horizontal East direction"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return math.acos(dotproduct(normalized(first),normalized(other)))
 
def project(first, other):
    """project(Vector,Vector): projects the first vector onto the second one"""
    if isinstance(first,FreeCAD.Vector) and isinstance(other,FreeCAD.Vector):
        return scale(other, dotproduct(first,other)/dotproduct(other,other))