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RWVector2.1
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testcfft.out
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1989-08-18
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Testing DComplexFFTServer (Double Precision Complex FFT Server)
**************************************
a:
( 1.00000, 0.00000)( 0.86603, 0.00000)( 0.50000, 0.00000)( 0.00000, 0.00000)
(-0.50000, 0.00000)(-0.86603, 0.00000)(-1.00000, 0.00000)(-0.86603, 0.00000)
(-0.50000, 0.00000)( 0.00000, 0.00000)( 0.50000, 0.00000)( 0.86603, 0.00000)
a2:
( 0.00000, 0.00000)( 0.86603, 0.00000)( 0.86603, 0.00000)( 0.00000, 0.00000)
(-0.86603, 0.00000)(-0.86603, 0.00000)( 0.00000, 0.00000)( 0.86603, 0.00000)
( 0.86603, 0.00000)( 0.00000, 0.00000)(-0.86603, 0.00000)(-0.86603, 0.00000)
asum:
( 1.00000, 0.00000)( 1.73205, 0.00000)( 1.36603, 0.00000)( 0.00000, 0.00000)
(-1.36603, 0.00000)(-1.73205, 0.00000)(-1.00000, 0.00000)( 0.00000, 0.00000)
( 0.36603, 0.00000)( 0.00000, 0.00000)(-0.36603, 0.00000)( 0.00000, 0.00000)
**************************************
Checking transforms of pure signals.
Transform of a:
( 0.00000, 0.00000)( 0.50000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.50000, 0.00000)
Transform of a2:
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, -0.50000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.50000)( 0.00000, 0.00000)
Transform of asum:
( 0.00000, 0.00000)( 0.50000, 0.00000)( 0.00000, -0.50000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.50000)( 0.50000, 0.00000)
**************************************
Checking Parseval's theorem.
Original variance: 1
Spectral variance: 1
**************************************
Checking transform of linear ramp.
Original series:
( 0.00000, 0.00000)( 1.00000, 1.00000)( 2.00000, 2.00000)( 3.00000, 3.00000)
( 4.00000, 4.00000)( 5.00000, 5.00000)( 6.00000, 6.00000)( 7.00000, 7.00000)
( 8.00000, 8.00000)( 9.00000, 9.00000)(10.00000, 10.00000)(11.00000, 11.00000)
Its transform:
( 5.50000, 5.50000)(-2.36603, 1.36603)(-1.36603, 0.36603)(-1.00000, 0.00000)
(-0.78868, -0.21132)(-0.63397, -0.36603)(-0.50000, -0.50000)(-0.36603, -0.63397)
(-0.21132, -0.78868)( 0.00000, -1.00000)( 0.36603, -1.36603)( 1.36603, -2.36603)
Checking Parseval's theorem for ramp.
Original variance: 23.8333
Final variance: 23.8333
Back transform:
( 0.00000, 0.00000)( 1.00000, 1.00000)( 2.00000, 2.00000)( 3.00000, 3.00000)
( 4.00000, 4.00000)( 5.00000, 5.00000)( 6.00000, 6.00000)( 7.00000, 7.00000)
( 8.00000, 8.00000)( 9.00000, 9.00000)(10.00000, 10.00000)(11.00000, 11.00000)
**************************************
Checking Nyquist.
Original sequence:
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
Its transform:
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 1.00000, 1.00000)( 0.00000, 0.00000)
( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)( 0.00000, 0.00000)
Back transform:
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
( 1.00000, 1.00000)(-1.00000, -1.00000)( 1.00000, 1.00000)(-1.00000, -1.00000)
**************************************