def scale_nodes(L,N,delta=0.5,g=0.,d=0.):
from quad import gq
from spyctral.scaling import scale_factor
[x,w] = gq(N,g=g,d=d)
return scale_factor(L,x,delta=delta)
def mjwfft_overhead(N,s=1.,t=1.,shift=0.,scale=1.):
from jfft import jacfft_overhead
from maps import sqrt_wjacobiw
from quad import gq
A = s-1
B = t-1
A = int(A)
B = int(B)
# Use canonical quadrature points
[x,w] = gq(N,s=1.,t=1.,scale=scale,shift=shift)
# Must multiply by the sqrt of the Jacobian and then do FFT
factors = sqrt_wjacobiw(x,s=s,t=t,scale=scale,shift=shift)
jo = jacfft_overhead(N,A,B)
return [factors, jo]
def mjwifft(U,s=1.,t=1.,shift=0.,scale=1.):
from jfft import jacifft
from maps import sqrt_wjacobiw
from quad import gq
A = s-1
B = t-1
A = int(A)
B = int(B)
N = U.size
# Use canonical quadrature points
[x,w] = gq(N,s=1.,t=1.,scale=scale,shift=shift)
# Inverse transform
u = jacifft(U,A,B)
# Multiply by factors
factors = sqrt_wjacobiw(x,s=s,t=t,scale=scale,shift=shift)
return u*factors