The reference D&L is "Geometric Algebra for Physicists" by Doran and Lasenby
"""
import sys
from sympy.external import import_module
numpy = import_module('numpy')
if not numpy:
disabled = True
else:
sys.path.append('../')
from sympy.galgebra.GA import set_main, MV, make_symbols, ZERO, ONE, HALF, S
import sympy
from sympy import collect, sympify
set_main(sys.modules[__name__])
def F(x):
"""
Conformal Mapping Function from 3D Euclidean space to 5D conformal space
where the images of all maps are null vectors.
"""
Fx = HALF*((x*x)*n+2*x-nbar)
#print 'F(x) =',Fx
return(Fx)
def make_vector(a,n = 3):
if type(a) == str:
sym_str = ''
for i in range(n):
sym_str += a+str(i)+' '
try:
import numpy
disabled = False
except ImportError:
#py.test will not execute any tests now
disabled = True
if not disabled:
sys.path.append('../')
from sympy.galgebra.GA import set_main, MV, make_symbols, types, ZERO, ONE, HALF, S
import sympy
from sympy import collect, sympify
set_main(sys.modules[__name__])
def F(x):
"""
Conformal Mapping Function from 3D euclidian space to 5D conformal space
where the images of all maps are null vectors.
"""
Fx = HALF*((x*x)*n+2*x-nbar)
#print 'F(x) =',Fx
return(Fx)
def make_vector(a,n = 3):
if type(a) == types.StringType:
sym_str = ''
for i in range(n):
sym_str += a+str(i)+' '