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1 #!/usr/bin/env python
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2
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3 import math
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4 import sys
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5 import os
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6 import random
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7 import struct
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8 import popen2
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9 import getopt
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10 import numpy
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11
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12 pi=math.pi
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13 e=math.e
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14 j=complex(0,1)
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15
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16 doreal=0
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17
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18 datatype = os.environ.get('DATATYPE','float')
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19
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20 util = '../tools/fft_' + datatype
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21 minsnr=90
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22 if datatype == 'double':
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23 fmt='d'
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24 elif datatype=='int16_t':
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25 fmt='h'
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26 minsnr=10
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27 elif datatype=='int32_t':
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28 fmt='i'
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29 elif datatype=='simd':
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30 fmt='4f'
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31 sys.stderr.write('testkiss.py does not yet test simd')
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32 sys.exit(0)
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33 elif datatype=='float':
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34 fmt='f'
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35 else:
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36 sys.stderr.write('unrecognized datatype %s\n' % datatype)
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37 sys.exit(1)
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38
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39
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40 def dopack(x,cpx=1):
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41 x = numpy.reshape( x, ( numpy.size(x),) )
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42
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43 if cpx:
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44 s = ''.join( [ struct.pack(fmt*2,c.real,c.imag) for c in x ] )
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45 else:
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46 s = ''.join( [ struct.pack(fmt,c.real) for c in x ] )
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47 return s
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48
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49 def dounpack(x,cpx):
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50 uf = fmt * ( len(x) / struct.calcsize(fmt) )
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51 s = struct.unpack(uf,x)
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52 if cpx:
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53 return numpy.array(s[::2]) + numpy.array( s[1::2] )*j
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54 else:
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55 return numpy.array(s )
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56
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57 def make_random(dims=[1]):
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58 res = []
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59 for i in range(dims[0]):
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60 if len(dims)==1:
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61 r=random.uniform(-1,1)
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62 if doreal:
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63 res.append( r )
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64 else:
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65 i=random.uniform(-1,1)
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66 res.append( complex(r,i) )
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67 else:
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68 res.append( make_random( dims[1:] ) )
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69 return numpy.array(res)
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70
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71 def flatten(x):
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72 ntotal = numpy.size(x)
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73 return numpy.reshape(x,(ntotal,))
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74
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75 def randmat( ndims ):
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76 dims=[]
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77 for i in range( ndims ):
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78 curdim = int( random.uniform(2,5) )
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79 if doreal and i==(ndims-1):
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80 curdim = int(curdim/2)*2 # force even last dimension if real
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81 dims.append( curdim )
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82 return make_random(dims )
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83
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84 def test_fft(ndims):
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85 x=randmat( ndims )
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86
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87
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88 if doreal:
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89 xver = numpy.fft.rfftn(x)
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90 else:
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91 xver = numpy.fft.fftn(x)
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92
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93 open('/tmp/fftexp.dat','w').write(dopack( flatten(xver) , True ) )
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94
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95 x2=dofft(x,doreal)
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96 err = xver - x2
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97 errf = flatten(err)
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98 xverf = flatten(xver)
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99 errpow = numpy.vdot(errf,errf)+1e-10
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100 sigpow = numpy.vdot(xverf,xverf)+1e-10
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101 snr = 10*math.log10(abs(sigpow/errpow) )
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102 print 'SNR (compared to NumPy) : %.1fdB' % float(snr)
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103
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104 if snr<minsnr:
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105 print 'xver=',xver
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106 print 'x2=',x2
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107 print 'err',err
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108 sys.exit(1)
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109
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110 def dofft(x,isreal):
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111 dims=list( numpy.shape(x) )
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112 x = flatten(x)
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113
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114 scale=1
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115 if datatype=='int16_t':
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116 x = 32767 * x
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117 scale = len(x) / 32767.0
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118 elif datatype=='int32_t':
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119 x = 2147483647.0 * x
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120 scale = len(x) / 2147483647.0
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121
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122 cmd='%s -n ' % util
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123 cmd += ','.join([str(d) for d in dims])
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124 if doreal:
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125 cmd += ' -R '
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126
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127 print cmd
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128 p = popen2.Popen3(cmd )
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129
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130 open('/tmp/fftin.dat','w').write(dopack( x , isreal==False ) )
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131
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132 p.tochild.write( dopack( x , isreal==False ) )
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133 p.tochild.close()
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134
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135 res = dounpack( p.fromchild.read() , 1 )
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136 open('/tmp/fftout.dat','w').write(dopack( flatten(res) , True ) )
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137 if doreal:
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138 dims[-1] = int( dims[-1]/2 ) + 1
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139
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140 res = scale * res
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141
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142 p.wait()
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143 return numpy.reshape(res,dims)
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144
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145 def main():
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146 opts,args = getopt.getopt(sys.argv[1:],'r')
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147 opts=dict(opts)
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148
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149 global doreal
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150 doreal = opts.has_key('-r')
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151
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152 if doreal:
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153 print 'Testing multi-dimensional real FFTs'
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154 else:
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155 print 'Testing multi-dimensional FFTs'
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156
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157 for dim in range(1,4):
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158 test_fft( dim )
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159
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160 if __name__ == "__main__":
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161 main()
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162
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