FreeCAD vector math library/pl: Difference between revisions

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(Created page with "Proszę zauważyć, że ten moduł został stworzony dawno temu, kiedy klasa {{incode|Vector}} nie miała wielu swoich metod. Teraz te operacje mogą być wykonywane przez sam...")
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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.
Proszę zauważyć, że ten moduł został stworzony dawno temu, kiedy klasa {{incode|Vector}} nie miała wielu swoich metod. Teraz te operacje mogą być wykonywane przez samą klasę Vector.


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.
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.

Revision as of 07:08, 17 May 2020

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Wprowadzenie

Jest to moduł Python zawierający kilka użytecznych funkcji do manipulowania wektorami. Biblioteka ta jest zawarta w Środowisku pracy Draft i może być dostępna w ten sposób z interpretera Pythona: 

import DraftVecUtils

Proszę zauważyć, że ten moduł został stworzony dawno temu, kiedy klasa Vector nie miała wielu swoich metod. Teraz te operacje mogą być wykonywane przez samą klasę Vector.

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))
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