<html><head><title>FreeCAD vector math library/it</title><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><link type='text/css' href='wiki.css' rel='stylesheet'></head><body><h1>FreeCAD vector math library/it</h1></div> <div id="mw-content-text" lang="it" dir="ltr" class="mw-content-ltr"><hr/><div class="mw-parser-output"><p>Questo è un file python che contiene un paio di funzioni utili per manipolare i vettori di FreeCAD. Per usarle, basta incollare il seguente codice in un file di python, e importare il file nel vostro script python. Questa libreria è inclusa nel <a href="https://www.freecadweb.org/wiki/index.php?title=Draft_Module/it" title="Draft Module/it">Modulo Draft</a> e vi si può accedere tramite l'interprete python in questo modo: </p> <pre>from draftlibs import DraftVecUtils </pre> <p>I vettori sono i mattoni costitutivi di quasi tutte le operazioni geometriche 3D, quindi è utile conoscerli un po' per capire come queste funzioni possono essere utili. Ecco alcune valide pagine per imparare le basi della matematica vettoriale: </p> <ul><li> <a rel="nofollow" class="external free" href="http://en.wikipedia.org/wiki/Vector_space">http://en.wikipedia.org/wiki/Vector_space</a></li> <li> <a rel="nofollow" class="external free" href="http://maths-wiki.wikispaces.com/Vectors">http://maths-wiki.wikispaces.com/Vectors</a></li> <li> <a rel="nofollow" class="external free" href="http://darksleep.com/player/opengl_coordinate_system_and_matrix_math.html">http://darksleep.com/player/opengl_coordinate_system_and_matrix_math.html</a></li></ul> <pre> "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)) </pre> <div style="clear:both"></div> </div> </div> </div><div class="printfooter"> Online version: "<a dir="ltr" href="https://www.freecadweb.org/wiki/index.php?title=FreeCAD_vector_math_library/it&oldid=158199">http://www.freecadweb.org/wiki/index.php?title=FreeCAD_vector_math_library/it&oldid=158199</a>"</div> <div id="catlinks" class="catlinks" data-mw="interface"></div><div class="visualClear"></div> </div> </div> <div id="mw-navigation"> <h2>Navigation menu</h2> </body></html>