TestCxfft.java running
sin 2 th data
A[0] real=0.0, imag=0.0
A[1] real=0.3826834323650898, imag=0.0
A[2] real=0.7071067811865475, imag=0.0
A[3] real=0.9238795325112867, imag=0.0
A[4] real=1.0, imag=0.0
A[5] real=0.9238795325112867, imag=0.0
A[6] real=0.7071067811865476, imag=0.0
A[7] real=0.3826834323650899, imag=0.0
A[8] real=1.2246467991473532E-16, imag=0.0
A[9] real=-0.38268343236508967, imag=0.0
A[10] real=-0.7071067811865475, imag=0.0
A[11] real=-0.9238795325112865, imag=0.0
A[12] real=-1.0, imag=0.0
A[13] real=-0.9238795325112866, imag=0.0
A[14] real=-0.7071067811865477, imag=0.0
A[15] real=-0.3826834323650904, imag=0.0
sin 2 th, FFT transform
B[0] cos=-4.406877377903816E-17, sin=0.0
B[1] cos=-8.881784197001252E-16, sin=8.0
B[2] cos=-3.8781536915749153E-16, sin=6.213023515347426E-16
B[3] cos=4.618329920220015E-16, sin=9.905154462808877E-16
B[4] cos=2.3348698237725095E-16, sin=4.996003610813204E-16
B[5] cos=1.722686960672386E-16, sin=7.004001889352352E-16
B[6] cos=6.327447289869622E-16, sin=3.992577466097112E-16
B[7] cos=-3.5595166229198634E-16, sin=0.0
B[8] cos=6.695352868347749E-17, sin=0.0
B[9] cos=4.440892098500626E-16, sin=4.440892098500626E-16
B[10] cos=6.327447289869622E-16, sin=-3.992577466097113E-16
B[11] cos=6.026205227942763E-16, sin=-9.905154462808877E-16
B[12] cos=2.3348698237725105E-16, sin=-4.996003610813204E-16
B[13] cos=2.71820513782824E-16, sin=-7.004001889352352E-16
B[14] cos=-3.878153691574917E-16, sin=-6.213023515347425E-16
B[15] cos=-1.6882192918421742E-15, sin=-8.0
 
square wave data
A[0] real=1.0, imag=0.0
A[1] real=1.0, imag=0.0
A[2] real=1.0, imag=0.0
A[3] real=1.0, imag=0.0
A[4] real=0.0, imag=0.0
A[5] real=-1.0, imag=0.0
A[6] real=-1.0, imag=0.0
A[7] real=-1.0, imag=0.0
A[8] real=-1.0, imag=0.0
A[9] real=-1.0, imag=0.0
A[10] real=-1.0, imag=0.0
A[11] real=-1.0, imag=0.0
A[12] real=0.0, imag=0.0
A[13] real=1.0, imag=0.0
A[14] real=1.0, imag=0.0
A[15] real=1.0, imag=0.0
square wave generate
V[0] real =1.0352602305084038
V[1] real =1.026347812509553
V[2] real =0.9973075534396884
V[3] real =0.9288406237573503
V[4] real =7.510425274866754E-16
V[5] real =-0.9288406237573501
V[6] real =-0.9973075534396884
V[7] real =-1.026347812509553
V[8] real =-1.0352602305084038
V[9] real =-1.0263478125095526
V[10] real =-0.9973075534396886
V[11] real =-0.9288406237573509
V[12] real =-2.436185864926367E-15
V[13] real =0.9288406237573502
V[14] real =0.997307553439688
V[15] real =1.0263478125095538
square wave, FFT transform
B[0] cos=0.0, sin=0.0
B[1] cos=10.054678984251696, sin=-8.881784197001252E-16
B[2] cos=0.0, sin=0.0
B[3] cos=-2.9932115253309783, sin=9.992007221626409E-16
B[4] cos=0.0, sin=0.0
B[5] cos=1.3363572758385978, sin=5.551115123125783E-16
B[6] cos=0.0, sin=0.0
B[7] cos=-0.39782473475931646, sin=-1.1102230246251565E-15
B[8] cos=0.0, sin=0.0
B[9] cos=-0.39782473475931646, sin=0.0
B[10] cos=0.0, sin=0.0
B[11] cos=1.3363572758385986, sin=3.3306690738754696E-16
B[12] cos=0.0, sin=0.0
B[13] cos=-2.9932115253309775, sin=3.3306690738754696E-16
B[14] cos=0.0, sin=0.0
B[15] cos=10.054678984251696, sin=-2.220446049250313E-16
 
square wave, FFT inverse transform
C[0] real=1.0, imag=0.0
C[1] real=0.9999999999999999, imag=1.1102230246251565E-16
C[2] real=0.9999999999999998, imag=-1.6653345369377348E-16
C[3] real=0.9999999999999997, imag=-5.551115123125783E-17
C[4] real=0.0, imag=0.0
C[5] real=-1.0000000000000002, imag=5.551115123125783E-17
C[6] real=-1.0, imag=2.220446049250313E-16
C[7] real=-1.0000000000000002, imag=1.1102230246251565E-16
C[8] real=-1.0, imag=0.0
C[9] real=-0.9999999999999999, imag=-1.1102230246251565E-16
C[10] real=-0.9999999999999998, imag=1.6653345369377348E-16
C[11] real=-0.9999999999999997, imag=5.551115123125783E-17
C[12] real=0.0, imag=0.0
C[13] real=1.0000000000000002, imag=-5.551115123125783E-17
C[14] real=1.0, imag=-2.220446049250313E-16
C[15] real=1.0000000000000002, imag=-1.1102230246251565E-16
 
triangle wave data
A[0] real=1.0, imag=0.0
A[1] real=0.75, imag=0.0
A[2] real=0.5, imag=0.0
A[3] real=0.25, imag=0.0
A[4] real=0.0, imag=0.0
A[5] real=-0.25, imag=0.0
A[6] real=-0.5, imag=0.0
A[7] real=-0.75, imag=0.0
A[8] real=-1.0, imag=0.0
A[9] real=-0.75, imag=0.0
A[10] real=-0.5, imag=0.0
A[11] real=-0.25, imag=0.0
A[12] real=0.0, imag=0.0
A[13] real=0.25, imag=0.0
A[14] real=0.5, imag=0.0
A[15] real=0.75, imag=0.0
triangle wave generate
V[0] real =0.977507246702442
V[1] real =0.7515897145844119
V[2] real =0.5017239112894656
V[3] real =0.2509884461650034
V[4] real =8.555065609595925E-18
V[5] real =-0.25098844616500326
V[6] real =-0.5017239112894654
V[7] real =-0.7515897145844118
V[8] real =-0.977507246702442
V[9] real =-0.7515897145844118
V[10] real =-0.5017239112894658
V[11] real =-0.25098844616500376
V[12] real =-2.576252176583139E-16
V[13] real =0.25098844616500343
V[14] real =0.5017239112894656
V[15] real =0.7515897145844113
triangle wave, FFT transform
B[0] cos=0.0, sin=0.0
B[1] cos=6.568535592272045, sin=-4.440892098500626E-16
B[2] cos=0.0, sin=0.0
B[3] cos=0.8099572022108872, sin=4.579669976578771E-16
B[4] cos=0.0, sin=0.0
B[5] cos=0.3616156730429223, sin=2.498001805406602E-16
B[6] cos=0.0, sin=0.0
B[7] cos=0.25989153247414487, sin=-5.551115123125783E-16
B[8] cos=0.0, sin=0.0
B[9] cos=0.25989153247414487, sin=0.0
B[10] cos=0.0, sin=0.0
B[11] cos=0.361615673042923, sin=2.0816681711721685E-16
B[12] cos=0.0, sin=0.0
B[13] cos=0.8099572022108878, sin=1.942890293094024E-16
B[14] cos=0.0, sin=0.0
B[15] cos=6.568535592272045, sin=-1.1102230246251565E-16
 
saw tooth wave data
A[0] real=0.0, imag=0.0
A[1] real=0.125, imag=0.0
A[2] real=0.25, imag=0.0
A[3] real=0.375, imag=0.0
A[4] real=0.5, imag=0.0
A[5] real=0.625, imag=0.0
A[6] real=0.75, imag=0.0
A[7] real=0.875, imag=0.0
A[8] real=0.0, imag=0.0
A[9] real=-0.875, imag=0.0
A[10] real=-0.75, imag=0.0
A[11] real=-0.625, imag=0.0
A[12] real=-0.5, imag=0.0
A[13] real=-0.375, imag=0.0
A[14] real=-0.25, imag=0.0
A[15] real=-0.125, imag=0.0
sawtooth wave generate
V[0] real =0.0
V[1] real =0.16424634126321216
V[2] real =0.38487422862220777
V[3] real =0.5855124413965413
V[4] real =0.7261857171680723
V[5] real =0.9155423553255077
V[6] real =1.1821647054444637
V[7] real =1.3218819592700348
V[8] real =2.5915179517628674E-15
V[9] real =-1.3218819592700342
V[10] real =-1.1821647054444648
V[11] real =-0.9155423553255089
V[12] real =-0.7261857171680723
V[13] real =-0.5855124413965408
V[14] real =-0.38487422862220805
V[15] real =-0.1642463412632128
sawtooth wave, FFT transform
B[0] cos=0.0, sin=0.0
B[1] cos=1.7225464241988333E-16, sin=5.027339492125847
B[2] cos=-2.220446049250313E-16, sin=-2.414213562373095
B[3] cos=5.493903235864684E-16, sin=1.4966057626654892
B[4] cos=1.1102230246251565E-16, sin=-1.0
B[5] cos=-2.1632341619892146E-16, sin=0.6681786379192989
B[6] cos=3.3306690738754696E-16, sin=-0.4142135623730949
B[7] cos=-5.053215498074303E-16, sin=0.19891236737965823
B[8] cos=0.0, sin=0.0
B[9] cos=1.7225464241988333E-16, sin=-0.19891236737965778
B[10] cos=-2.220446049250313E-16, sin=0.41421356237309515
B[11] cos=2.1632341619892146E-16, sin=-0.6681786379192993
B[12] cos=-1.1102230246251565E-16, sin=1.0
B[13] cos=1.167434911886255E-16, sin=-1.4966057626654887
B[14] cos=1.1102230246251565E-16, sin=2.414213562373095
B[15] cos=-5.053215498074303E-16, sin=-5.027339492125848
 
set up convolution test
square wave data
a[0] real=1.0
a[1] real=1.0
a[2] real=1.0
a[3] real=1.0
a[4] real=0.0
a[5] real=-1.0
a[6] real=-1.0
a[7] real=-1.0
a[8] real=-1.0
a[9] real=-1.0
a[10] real=-1.0
a[11] real=-1.0
a[12] real=0.0
a[13] real=1.0
a[14] real=1.0
a[15] real=1.0
triangle wave data
b[0] real=1.0
b[1] real=0.75
b[2] real=0.5
b[3] real=0.25
b[4] real=0.0
b[5] real=-0.25
b[6] real=-0.5
b[7] real=-0.75
b[8] real=-1.0
b[9] real=-0.75
b[10] real=-0.5
b[11] real=-0.25
b[12] real=0.0
b[13] real=0.25
b[14] real=0.5
b[15] real=0.75
classic convolution of a with b
classic convolution of a with b output
c[0] real=1.0
c[1] real=1.75
c[2] real=2.25
c[3] real=2.5
c[4] real=1.5
c[5] real=-0.5
c[6] real=-2.25
c[7] real=-3.75
c[8] real=-5.0
c[9] real=-5.5
c[10] real=-5.25
c[11] real=-4.25
c[12] real=-1.5
c[13] real=2.25
c[14] real=5.25
c[15] real=7.5
FFT convolution of a with b
FFT convolution of a with b output
c[0] real=1.0
c[1] real=1.7499999999999996
c[2] real=2.2499999999999996
c[3] real=2.4999999999999987
c[4] real=1.4999999999999991
c[5] real=-0.5000000000000009
c[6] real=-2.250000000000001
c[7] real=-3.7500000000000004
c[8] real=-4.999999999999999
c[9] real=-5.499999999999998
c[10] real=-5.249999999999998
c[11] real=-4.249999999999997
c[12] real=-1.4999999999999987
c[13] real=2.25
c[14] real=5.249999999999999
c[15] real=7.4999999999999964
end TestCxfft