FreeCAD vector math library/de: Difference between revisions
(Created page with "FreeCAD Vektor Mathematische Bibliothek") |
(Created page with "Dies ist eine Python-Datei mit einigen nützlichen Funktionen zur Manipulation von Freecad-Vektoren. Füge einfach den folgenden Code in eine Python-Datei ein und importiere d...") |
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Dies ist eine Python-Datei mit einigen nützlichen Funktionen zur Manipulation von Freecad-Vektoren. Füge einfach den folgenden Code in eine Python-Datei ein und importiere diese Datei in dein Python-Skript, um sie zu verwenden. Diese Bibliothek ist im [[Draft Module]] enthalten und kann so vom Python-Interpreter aus aufgerufen werden: |
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This is a python file containing a couple of useful functions to manipulate freecad vectors. Just paste the following code in a python file, and import that file in your python script in order to use them. This library is included in the [[Draft Module]] and can be accessed like this from the python interpreter: |
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import DraftVecUtils |
import DraftVecUtils |
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Vectors are the building bricks of almost all 3D geometric operations, so it is useful to know a bit about them to understand how these functions can be useful to you. A couple of good pages to learn the basics of vector math: |
Vectors are the building bricks of almost all 3D geometric operations, so it is useful to know a bit about them to understand how these functions can be useful to you. A couple of good pages to learn the basics of vector math: |
Revision as of 20:33, 19 November 2019
Dies ist eine Python-Datei mit einigen nützlichen Funktionen zur Manipulation von Freecad-Vektoren. Füge einfach den folgenden Code in eine Python-Datei ein und importiere diese Datei in dein Python-Skript, um sie zu verwenden. Diese Bibliothek ist im Draft Module enthalten und kann so vom Python-Interpreter aus aufgerufen werden:
import DraftVecUtils
Vectors are the building bricks of almost all 3D geometric operations, so it is useful to know a bit about them to understand how these functions can be useful to you. A couple of good pages to learn the basics of vector math:
- http://en.wikipedia.org/wiki/Vector_space
- http://maths-wiki.wikispaces.com/Vectors
- http://darksleep.com/player/opengl_coordinate_system_and_matrix_math.html
"Vector math library for FreeCAD" import math,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))