def testIssue(): v1 = np.array([1,1,1]) v2 = np.array([1,2,3]) v3 = np.array([2,3,4]) vs = VecSpace([v2]) asp = AffSpace(v1, vs) asp.belongs(v3) print vs.basis()
def testAffSpace(): v1 = [6, 0, 3, 1, 4, 2] v2 = [0, -1, 2, 7, 0, 5] v3 = [12, 3, 0, -19, 8, -11] vecs = [v1] vecspace = VecSpace(vecs) affspace = AffSpace() v = np.array([1.3, -0.4, 19, 3, -1.3, 0]) v1 = np.array([-2, -1.4, 0, -13, 3.3, 10]) affspace = AffSpace(v, vecspace) affspace.belongs(v1) affspace.belongs(v1) mat = np.matrix([[1,-2,3],[0.2,23,0],[0,-4,-5.2]]) u = np.array([0.2, 5.2, -4]) affspace = AffSpace.solve(mat,u) print affspace.vector
def main(): # vecs = [[1,-2,3],[0.2,23,0],[0,-4,-5.2]] # mat = [[3,4,5],[5,-2,4]] # ### test for InnerSpace ### # ins0 = InSpace() # print ins0.vectors # print ins0.matrix # ins1 = InSpace(vecs, mat) # print ins1.vectors # print ins1.matrix # # expected to work # u = [0.2, 5.2, -4] # v = [1.3, -0.4, 19] # print ins1.product(u,v) # # expected not to work # # this will quit the program # u = [0.2, -4] # v = [1.3, -0.4, 19] # print ins1.product(u,v) ### test for vector space ### # v1 = [1,2,3] # v2 = [1,2,3] # vecs = [v1] # vecspace = VecSpace(vecs) # vecspace.belongs(v2) # v2 = [10,20,30] # vecspace.belongs(v2) # v2 = [1,20,30] # vecspace.belongs(v2) # print vecspace.vectors v1 = [6, 0, 3, 1, 4, 2] v2 = [0, -1, 2, 7, 0, 5] v3 = [12, 3, 0, -19, 8, -11] vecs = [v1] vecspace = VecSpace(vecs) print vecspace.vectors # expected to be belong vecspace.belongs(v2) # expected NOT to be belong vecspace.belongs(v3) # need more test case for PLUS function vecspace.plus(vecspace) # print vecspace.vectors # print vecspace.dim() # print vecspace.basis() # ### test for affine space ### v = [1.3, -0.4, 19, 3, -1.3, 0] v1 = [-2, -1.4, 0, -13, 3.3, 10] affspace = AffSpace(v, vecspace) affspace.belongs(v1) affspace.belongs(v1) mat = [[1,-2,3],[0.2,23,0],[0,-4,-5.2]] u = [0.2, 5.2, -4] affspace = AffSpace.solve(mat,u) print affspace.vector
