This commit is contained in:
Mark Borgerding 2004-02-02 03:51:23 +00:00
parent 029fad7a65
commit c8950c115a

View File

@ -1,15 +1,33 @@
#!/usr/local/bin/python2.3
import math
import sys
import os
import random
import Numeric
import FFT
import struct
import popen2
pi=math.pi
e=math.e
j=complex(0,1)
def dopack(x,fmt='f',cpx=1):
doreal=0
datatype = os.environ.get('DATATYPE','float')
util = '../tools/fft'
fmt='f'
minsnr=90
if datatype == 'double':
util = '../tools/fft_double'
fmt='d'
elif datatype=='short':
util = '../tools/fft_short'
fmt='h'
minsnr=10
def dopack(x,cpx=1):
x = Numeric.reshape( x, ( Numeric.size(x),) )
if cpx:
s = ''.join( [ struct.pack(fmt*2,c.real,c.imag) for c in x ] )
@ -17,51 +35,15 @@ def dopack(x,fmt='f',cpx=1):
s = ''.join( [ struct.pack(fmt,c) for c in x ] )
return s
def dounpack(x,fmt,cpx):
uf = fmt * ( len(x) / 4 )
def dounpack(x,cpx):
uf = fmt * ( len(x) / struct.calcsize(fmt) )
s = struct.unpack(uf,x)
if cpx:
return Numeric.array(s[::2]) + Numeric.array( s[1::2] )*j
else:
return Numeric.array(s )
def main():
#fft_func = fft
fft_func = real_fft
tvec = [0.309655,0.815653,0.768570,0.591841,0.404767,0.637617,0.007803,0.012665]
Ftvec = [ complex(r,i) for r,i in zip(
[3.548571,-0.378761,-0.061950,0.188537,-0.566981,0.188537,-0.061950,-0.378761],
[0.000000,-1.296198,-0.848764,0.225337,0.000000,-0.225337,0.848764,1.296198] ) ]
F = fft_func( tvec,0 )
nerrs= 0
for i in range(len(Ftvec)/2 + 1):
if abs( F[i] - Ftvec[i] )> 1e-5:
print 'F[%d]: %s != %s' % (i,F[i],Ftvec[i])
nerrs += 1
print '%d errors in forward fft' % nerrs
if nerrs:
return
trec = fft_func( F , 1 )
for i in range(len(trec) ):
trec[i] /= len(trec)
for i in range(len(tvec) ):
if abs( trec[i] - tvec[i] )> 1e-5:
print 't[%d]: %s != %s' % (i,tvec[i],trec[i])
nerrs += 1
print '%d errors in reverse fft' % nerrs
def make_random(dims=[1]):
import Numeric
res = []
for i in range(dims[0]):
if len(dims)==1:
@ -73,7 +55,6 @@ def make_random(dims=[1]):
return Numeric.array(res)
def flatten(x):
import Numeric
ntotal = Numeric.product(Numeric.shape(x))
return Numeric.reshape(x,(ntotal,))
@ -84,63 +65,60 @@ def randmat( ndims ):
dims.append( curdim )
return make_random(dims )
def test_fftnd(ndims=3):
import FFT
import Numeric
def test_fft(ndims):
if ndims == 1:
x=Numeric.array(make_random( [ int(random.uniform(500,1025)) ] ))
else:
x=randmat( ndims )
x=randmat( ndims )
print 'dimensions=%s' % str( Numeric.shape(x) )
#print 'x=%s' %str(x)
xver = FFT.fftnd(x)
x2=myfftnd(x)
x2=dofft(x)
err = xver - x2
errf = flatten(err)
xverf = flatten(xver)
errpow = Numeric.vdot(errf,errf)+1e-10
sigpow = Numeric.vdot(xverf,xverf)+1e-10
snr = 10*math.log10(abs(sigpow/errpow) )
print 'SNR(compared to Python FFT module) =%sdB' % str( snr )
if snr<80:
print xver
print x2
print 'dimensions=%s' % str( Numeric.shape(x) ),
print 'SNR (compared to NumPy) : %.1fdB' % float(snr)
if snr<minsnr:
print 'xver=',xver
print 'x2=',x2
print 'err',err
sys.exit(1)
def myfftnd(x):
import Numeric
xf = flatten(x)
Xf = fftndwork( xf , Numeric.shape(x) )
return Numeric.reshape(Xf,Numeric.shape(x) )
def dofft(x):
dims=Numeric.shape(x)
x = flatten(x)
iscomp = (type(x[0]) == complex)
def fftndwork(x,dims):
import popen2
scale=1
if datatype=='short':
x = 32767 * x
scale = len(x) / 32767.0
cmd = '../tools/fft -n '
cmd='%s -n ' % util
cmd += ','.join([str(d) for d in dims])
p = popen2.Popen3(cmd )
p.tochild.write( dopack( x , 'f' ,1 ) )
p.tochild.close()
res = dounpack( p.fromchild.read() , 'f' ,1 )
p.wait()
return res
#import Numeric
#dimprod=Numeric.product( dims )
#
#for k in range( len(dims) ):
#cur_dim=dims[ k ]
#stride=dimprod/cur_dim
#next_x = [complex(0,0)]*len(x)
#for i in range(stride):
#next_x[i*cur_dim:(i+1)*cur_dim] = fft(x[i:(i+cur_dim)*stride:stride],0)
#x = next_x
#return x
p = popen2.Popen3(cmd )
p.tochild.write( dopack( x , iscomp ) )
p.tochild.close()
res = dounpack( p.fromchild.read() , iscomp )
res = scale * res
p.wait()
return Numeric.reshape(res,dims)
def main():
for dim in range(1,9):
test_fft( dim )
print 'We crossed the 8th dimension. Buckaroo would be proud'
if __name__ == "__main__":
try:
nd = int(sys.argv[1])
except:
nd=None
if nd:
test_fftnd( nd )
else:
sys.exit(0)
main()