Package: scikit-vectors
Functions to create n-dimensional vector classesThis is a Python library with functions that create vector classes with 2, 3 or an arbitrary number of dimensions.The name of the classes to be created, and the names of their vector components are set when calling the functions. The brackets for the vectors and the seperators for their components can also be given as arguments to these functions.There are 11 functions that create vector classes. Each of them creates vector classes with a certain functionality. 8 of the functions create vector classes with a cartesian coordinate system and 4 of the functions create vector classes with tolerances for comparing vectors.Created vector classes can be extended with extra functionality for processing their vector instances and ther component values.Some of the vector classes are suitable for using e.g. NumPy's ndarrays, Pandas Series or SymPy's algebraic expressions as component values.Project homepagehttps://github.com/t-o-k/scikit-vectorsProject wikihttps://github.com/t-o-k/scikit-vectors/wikiThe wiki has links to documents that shows how created vector classes can be used.Installationscikit-vectors requires Python version 3.5 or higher.pipinstallscikit-vectorsExamplesIn addition to the short examples below, there are some more elaborate ones here:https://github.com/t-o-k/scikit-vectors_examplesSimple examples>>>frommathimportpi>>>fromskvectorsimportcreate_class_Cartesian_3D_Vector>>>CV3D=create_class_Cartesian_3D_Vector('CV3D','xyz',brackets=['<< ',' >>'])>>>u=CV3D(3,0,-4)>>>print(u)<<3,0,-4>>>>>v=CV3D(1,-2,3)*2>>>repr(v)'CV3D(x=2, y=-4, z=6)'>>>u.normalize()CV3D(x=0.6,y=0.0,z=-0.8)>>>u.dot(v)-18>>>u.cross(v)CV3D(x=-16,y=-26,z=-12)>>>u=CV3D(4.5,-3.0,-1.5)>>>v=CV3D(-3,-3,-3)>>>u.angle(v)/pi0.49999999999999994>>>u=CV3D(5,-4,-3)>>>v=CV3D(-2,0,2)>>>u.project(v)CV3D(x=4.0,y=-0.0,z=-4.0)>>>u=CV3D(-5,0,0)>>>v=CV3D(0,12,0)>>>(u-v).length()13.0>>>u=CV3D(-3,4,-5)>>>u.rotate_x(pi)CV3D(x=-3,y=-3.9999999999999996,z=5.000000000000001)>>>u=CV3D(-3,4,-5)>>>v=CV3D(0,-10,-8)>>>u.axis_rotate(v,-pi)CV3D(x=2.999999999999999,y=-4.0,z=5.0)>>>u=CV3D(-3,4,-5)>>>v=CV3D(-6,0,0)>>>w=CV3D(0,0,7)>>>u.reorient(v,w)CV3D(x=-5.0,y=4.0,z=3.0)>>>u=CV3D(0,-1,2)>>>v=CV3D(-3,4,-5)>>>w=CV3D(3,1,2)>>>u.stp(v,w)-21>>>>>>fromskvectorsimportcreate_class_Simple_Vector>>>SV=create_class_Simple_Vector('SV',['first','second','third','fourth','fifth','sixth'])>>>u=SV(3,1,-2,-3,4,2)>>>uSV(first=3,second=1,third=-2,fourth=-3,fifth=4,sixth=2)>>>v=SV(2,-2,1,3,1,4)>>>u*v+10SV(first=16,second=8,third=8,fourth=1,fifth=14,sixth=18)>>>2*(u-v)SV(first=2,second=6,third=-6,fourth=-12,fifth=6,sixth=-4)>>>u**v/2SV(first=4.5,second=0.5,third=-1.0,fourth=-13.5,fifth=2.0,sixth=8.0)>>>u*=2/v>>>uSV(first=3.0,second=-1.0,third=-4.0,fourth=-2.0,fifth=8.0,sixth=1.0)>>>u.first3.0>>>(u+v).sixth5.0>>>u.fifth+=20>>>uSV(first=3.0,second=-1.0,third=-4.0,fourth=-2.0,fifth=28.0,sixth=1.0)>>>u.c_add_third(24)SV(first=3.0,second=-1.0,third=20.0,fourth=-2.0,fifth=28.0,sixth=1.0)>>>u.c_imul_bar_second(1000)>>>uSV(first=3000.0,second=-1.0,third=-4000.0,fourth=-2000.0,fifth=28000.0,sixth=1000.0)>>>v=SV(0,1,2,3,4,5)/6>>>round(v,3)SV(first=0.0,second=0.167,third=0.333,fourth=0.5,fifth=0.667,sixth=0.833)>>>Not so simple example with NumPy>>>fromskvectorsimportcreate_class_Cartesian_3D_Vector>>>importnumpyasnp>>>NP3=\...create_class_Cartesian_3D_Vector(...name='NP3',...component_names=[chr(0x03b1)*2,chr(0x03b2)*2,chr(0x03b3)*2],...brackets=[chr(0x2770)*2+' ',' '+chr(0x2771)*2],...sep=', ',...cnull=np.array([0.,0.,0.,0.]),...cunit=np.array([1.,1.,1.,1.]),...functions=\...{...'eq':np.equal,...'ne':np.not_equal,...'not':np.logical_not,...'and':np.logical_and,...'or':np.logical_or,...'all':np.all,...'any':np.any,...'min':np.minimum,...'max':np.maximum,...'abs':np.absolute,...'int':np.rint,...'ceil':np.ceil,...'copysign':np.copysign,...'log10':np.log10,...'cos':np.cos,...'sin':np.sin,...'atan2':np.arctan2,...'pi':np.pi...}...)>>>NP3.component_names()['αα','ββ','γγ']>>>u=\...NP3(...np.random.randint(-10,10,size=4),...np.random.randint(-10,10,size=4),...np.random.randint(-10,10,size=4)...)>>>uNP3(αα=array([7.,-8.,5.,7.]),ββ=array([-1.,-4.,7.,-4.]),γγ=array([1.,6.,-2.,8.]))>>>u/=10>>>uNP3(αα=array([0.7,-0.8,0.5,0.7]),ββ=array([-0.1,-0.4,0.7,-0.4]),γγ=array([0.1,0.6,-0.2,0.8]))>>>v=\...NP3(...np.array([-3,5,-1,2]),...np.array([0,12,0,-1]),...np.array([4,0,0,2])...)>>>str(v)'❰❰ [-3.  5. -1.  2.], [  0.  12.   0.  -1.], [ 4.  0.  0.  2.] ❱❱'>>>v.length()array([5.,13.,1.,3.])>>>v.contains(np.array([4.0,2.0,-1.0,3.0]))array([True,False,True,False],dtype=bool)>>>(u-v)*10NP3(αα=array([37.,-58.,15.,-13.]),ββ=array([-1.,-124.,7.,6.]),γγ=array([-39.,6.,-2.,-12.]))>>>w=NP3(1,-1,0)>>>wNP3(αα=array([1.,1.,1.,1.]),ββ=array([-1.,-1.,-1.,-1.]),γγ=array([0.,0.,0.,0.]))>>>u.reorient(v,w)NP3(αα=array([0.1771821,-0.0652714,-0.84852814,0.76479998]),ββ=array([0.65801471,0.8920424,-0.14142136,-0.83797539]),γγ=array([-0.21359575,0.6,-0.2,0.05364919]))>>>u.axis_rotate(NP3(1,-2,1),np.pi/4)NP3(αα=array([0.51492277,-0.76733621,0.21325376,0.26084032]),ββ=array([0.00486333,-0.74556654,0.80444152,-0.53626169]),γγ=array([0.49480389,-0.12379688,0.29562928,0.96663629]))>>>Running the testsgitclonehttps://github.com/t-o-k/scikit-vectorscdscikit-vectors
python3-munittestdiscoverHere's more information:https://travis-ci.org/t-o-k/scikit-vectorsLicense informationSee the file LICENSE for information on terms & conditions for usage, and a DISCLAIMER OF ALL WARRANTIES.AuthorTor Olav Kristensenhttp://subcube.com