| 1 | from numpy.testing import TestCase, run_module_suite |
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| 2 | from numpy.testing import assert_equal, assert_almost_equal |
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| 3 | # WARNING: numpy also has an fft object |
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| 4 | from aubio import specdesc, cvec |
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| 5 | from numpy import array, shape, arange, zeros, log |
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| 6 | from math import pi |
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| 7 | |
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| 8 | class aubio_specdesc(TestCase): |
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| 9 | |
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| 10 | def test_members(self): |
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| 11 | o = specdesc() |
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| 12 | assert_equal ([o.buf_size, o.method], |
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| 13 | [1024, "default"]) |
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| 14 | |
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| 15 | def test_hfc(self): |
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| 16 | o = specdesc("hfc") |
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| 17 | c = cvec() |
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| 18 | assert_equal( 0., o(c)) |
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| 19 | a = arange(c.length, dtype='float32') |
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| 20 | c.norm = a |
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| 21 | assert_equal (a, c.norm) |
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| 22 | assert_equal ( sum(a*(a+1)), o(c)) |
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| 23 | |
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| 24 | def test_complex(self): |
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| 25 | o = specdesc("complex") |
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| 26 | c = cvec() |
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| 27 | assert_equal( 0., o(c)) |
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| 28 | a = arange(c.length, dtype='float32') |
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| 29 | c.norm = a |
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| 30 | assert_equal (a, c.norm) |
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| 31 | # the previous run was on zeros, so previous frames are still 0 |
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| 32 | # so we have sqrt ( abs ( r2 ^ 2) ) == r2 |
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| 33 | assert_equal ( sum(a), o(c)) |
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| 34 | # second time. c.norm = a, so, r1 = r2, and the euclidian distance is 0 |
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| 35 | assert_equal ( 0, o(c)) |
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| 36 | |
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| 37 | def test_phase(self): |
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| 38 | o = specdesc("phase") |
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| 39 | c = cvec() |
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| 40 | assert_equal( 0., o(c)) |
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| 41 | |
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| 42 | def test_kl(self): |
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| 43 | o = specdesc("kl") |
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| 44 | c = cvec() |
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| 45 | assert_equal( 0., o(c)) |
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| 46 | a = arange(c.length, dtype='float32') |
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| 47 | c.norm = a |
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| 48 | assert_almost_equal( sum(a * log(1.+ a/1.e-10 ) ) / o(c), 1., decimal=6) |
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| 49 | |
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| 50 | def test_mkl(self): |
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| 51 | o = specdesc("mkl") |
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| 52 | c = cvec() |
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| 53 | assert_equal( 0., o(c)) |
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| 54 | a = arange(c.length, dtype='float32') |
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| 55 | c.norm = a |
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| 56 | assert_almost_equal( sum(log(1.+ a/1.e-10 ) ) / o(c), 1, decimal=6) |
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| 57 | |
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| 58 | def test_specflux(self): |
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| 59 | o = specdesc("specflux") |
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| 60 | c = cvec() |
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| 61 | assert_equal( 0., o(c)) |
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| 62 | a = arange(c.length, dtype='float32') |
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| 63 | c.norm = a |
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| 64 | assert_equal( sum(a), o(c)) |
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| 65 | assert_equal( 0, o(c)) |
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| 66 | c.norm = zeros(c.length, dtype='float32') |
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| 67 | assert_equal( 0, o(c)) |
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| 68 | |
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| 69 | def test_centroid(self): |
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| 70 | o = specdesc("centroid") |
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| 71 | c = cvec() |
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| 72 | # make sure centroid of zeros is zero |
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| 73 | assert_equal( 0., o(c)) |
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| 74 | a = arange(c.length, dtype='float32') |
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| 75 | c.norm = a |
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| 76 | centroid = sum(a*a) / sum(a) |
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| 77 | assert_almost_equal (centroid, o(c), decimal = 2) |
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| 78 | |
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| 79 | c.norm = a * .5 |
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| 80 | assert_almost_equal (centroid, o(c), decimal = 2) |
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| 81 | |
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| 82 | def test_spread(self): |
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| 83 | o = specdesc("spread") |
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| 84 | c = cvec() |
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| 85 | assert_equal( 0., o(c)) |
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| 86 | a = arange(c.length, dtype='float32') |
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| 87 | c.norm = a |
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| 88 | centroid = sum(a*a) / sum(a) |
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| 89 | spread = sum( (a - centroid)**2 *a) / sum(a) |
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| 90 | assert_almost_equal (spread, o(c), decimal = 2) |
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| 91 | |
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| 92 | c.norm = a * 3 |
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| 93 | assert_almost_equal (spread, o(c), decimal = 2) |
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| 94 | |
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| 95 | def test_skewness(self): |
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| 96 | o = specdesc("skewness") |
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| 97 | c = cvec() |
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| 98 | assert_equal( 0., o(c)) |
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| 99 | a = arange(c.length, dtype='float32') |
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| 100 | c.norm = a |
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| 101 | centroid = sum(a*a) / sum(a) |
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| 102 | spread = sum( (a - centroid)**2 *a) / sum(a) |
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| 103 | skewness = sum( (a - centroid)**3 *a) / sum(a) / spread **1.5 |
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| 104 | assert_almost_equal (skewness, o(c), decimal = 2) |
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| 105 | |
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| 106 | c.norm = a * 3 |
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| 107 | assert_almost_equal (skewness, o(c), decimal = 2) |
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| 108 | |
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| 109 | def test_kurtosis(self): |
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| 110 | o = specdesc("kurtosis") |
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| 111 | c = cvec() |
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| 112 | assert_equal( 0., o(c)) |
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| 113 | a = arange(c.length, dtype='float32') |
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| 114 | c.norm = a |
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| 115 | centroid = sum(a*a) / sum(a) |
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| 116 | spread = sum( (a - centroid)**2 *a) / sum(a) |
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| 117 | kurtosis = sum( (a - centroid)**4 *a) / sum(a) / spread **2 |
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| 118 | assert_almost_equal (kurtosis, o(c), decimal = 2) |
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| 119 | |
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| 120 | def test_slope(self): |
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| 121 | o = specdesc("slope") |
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| 122 | c = cvec() |
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| 123 | assert_equal( 0., o(c)) |
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| 124 | a = arange(c.length * 2, 0, -2, dtype='float32') |
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| 125 | k = arange(c.length, dtype='float32') |
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| 126 | c.norm = a |
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| 127 | num = len(a) * sum(k*a) - sum(k)*sum(a) |
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| 128 | den = (len(a) * sum(k**2) - sum(k)**2) |
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| 129 | slope = num/den/sum(a) |
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| 130 | assert_almost_equal (slope, o(c), decimal = 5) |
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| 131 | |
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| 132 | a = arange(0, c.length * 2, +2, dtype='float32') |
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| 133 | c.norm = a |
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| 134 | num = len(a) * sum(k*a) - sum(k)*sum(a) |
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| 135 | den = (len(a) * sum(k**2) - sum(k)**2) |
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| 136 | slope = num/den/sum(a) |
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| 137 | assert_almost_equal (slope, o(c), decimal = 5) |
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| 138 | |
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| 139 | a = arange(0, c.length * 2, +2, dtype='float32') |
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| 140 | c.norm = a * 2 |
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| 141 | assert_almost_equal (slope, o(c), decimal = 5) |
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| 142 | |
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| 143 | def test_decrease(self): |
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| 144 | o = specdesc("decrease") |
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| 145 | c = cvec() |
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| 146 | assert_equal( 0., o(c)) |
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| 147 | a = arange(c.length * 2, 0, -2, dtype='float32') |
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| 148 | k = arange(c.length, dtype='float32') |
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| 149 | c.norm = a |
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| 150 | decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:]) |
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| 151 | assert_almost_equal (decrease, o(c), decimal = 5) |
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| 152 | |
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| 153 | a = arange(0, c.length * 2, +2, dtype='float32') |
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| 154 | c.norm = a |
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| 155 | decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:]) |
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| 156 | assert_almost_equal (decrease, o(c), decimal = 5) |
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| 157 | |
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| 158 | a = arange(0, c.length * 2, +2, dtype='float32') |
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| 159 | c.norm = a * 2 |
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| 160 | decrease = sum((a[1:] - a [0]) / k[1:]) / sum(a[1:]) |
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| 161 | assert_almost_equal (decrease, o(c), decimal = 5) |
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| 162 | |
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| 163 | def test_rolloff(self): |
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| 164 | o = specdesc("rolloff") |
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| 165 | c = cvec() |
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| 166 | assert_equal( 0., o(c)) |
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| 167 | a = arange(c.length * 2, 0, -2, dtype='float32') |
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| 168 | k = arange(c.length, dtype='float32') |
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| 169 | c.norm = a |
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| 170 | cumsum = .95*sum(a*a) |
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| 171 | i = 0; rollsum = 0 |
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| 172 | while rollsum < cumsum: |
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| 173 | rollsum += a[i]*a[i] |
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| 174 | i+=1 |
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| 175 | rolloff = i |
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| 176 | assert_equal (rolloff, o(c)) |
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| 177 | |
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| 178 | if __name__ == '__main__': |
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| 179 | from unittest import main |
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| 180 | main() |
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