972 lines
20 KiB
JSON
972 lines
20 KiB
JSON
{
|
|
"format_version": 1,
|
|
"description": "Asymmetric f64 fields with complete sampled kernels and direct circular convolutions.",
|
|
"convolution_sign": "out[x] = sum_offset field[x-offset] * kernel[offset] with every axis periodic",
|
|
"cases": [
|
|
{
|
|
"rank": 1,
|
|
"shape": [
|
|
8
|
|
],
|
|
"field": [
|
|
0.0,
|
|
0.17,
|
|
0.91,
|
|
0.26,
|
|
0.73,
|
|
0.42,
|
|
0.08,
|
|
0.64
|
|
],
|
|
"kernel": {
|
|
"shape": [
|
|
8
|
|
],
|
|
"ra": 1.45,
|
|
"rr": 3.0,
|
|
"rb": 5.0,
|
|
"ri": 0.48333333333333334,
|
|
"width": 0.29,
|
|
"raw_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"raw_ring": [
|
|
0.0,
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
],
|
|
"disk_sum": 1.0,
|
|
"ring_sum": 2.0,
|
|
"normalized_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"normalized_ring": [
|
|
0.0,
|
|
0.5,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.5
|
|
],
|
|
"support": [
|
|
{
|
|
"coords": [
|
|
0
|
|
],
|
|
"offset": [
|
|
0
|
|
],
|
|
"radius": 0.0,
|
|
"disk": 1.0,
|
|
"ring": 0.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1
|
|
],
|
|
"offset": [
|
|
1
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
7
|
|
],
|
|
"offset": [
|
|
-1
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
}
|
|
],
|
|
"warnings": []
|
|
},
|
|
"direct_disk_convolution_raw": [
|
|
0.0,
|
|
0.17,
|
|
0.91,
|
|
0.26,
|
|
0.73,
|
|
0.42,
|
|
0.08,
|
|
0.64
|
|
],
|
|
"direct_ring_convolution_raw": [
|
|
0.81,
|
|
0.91,
|
|
0.43000000000000005,
|
|
1.6400000000000001,
|
|
0.6799999999999999,
|
|
0.8099999999999999,
|
|
1.06,
|
|
0.08
|
|
],
|
|
"M_disk_normalized": [
|
|
0.0,
|
|
0.17,
|
|
0.91,
|
|
0.26,
|
|
0.73,
|
|
0.42,
|
|
0.08,
|
|
0.64
|
|
],
|
|
"N_ring_normalized": [
|
|
0.405,
|
|
0.455,
|
|
0.21500000000000002,
|
|
0.8200000000000001,
|
|
0.33999999999999997,
|
|
0.40499999999999997,
|
|
0.53,
|
|
0.04
|
|
]
|
|
},
|
|
{
|
|
"rank": 2,
|
|
"shape": [
|
|
5,
|
|
4
|
|
],
|
|
"field": [
|
|
0.10714285714285714,
|
|
0.5,
|
|
0.8928571428571429,
|
|
0.25,
|
|
0.6428571428571429,
|
|
0.0,
|
|
0.39285714285714285,
|
|
0.7857142857142857,
|
|
0.14285714285714285,
|
|
0.5357142857142857,
|
|
0.9285714285714286,
|
|
0.2857142857142857,
|
|
0.6785714285714286,
|
|
0.03571428571428571,
|
|
0.42857142857142855,
|
|
0.8214285714285714,
|
|
0.17857142857142858,
|
|
0.5714285714285714,
|
|
0.9642857142857143,
|
|
0.32142857142857145
|
|
],
|
|
"kernel": {
|
|
"shape": [
|
|
5,
|
|
4
|
|
],
|
|
"ra": 1.45,
|
|
"rr": 3.0,
|
|
"rb": 5.0,
|
|
"ri": 0.48333333333333334,
|
|
"width": 0.29,
|
|
"raw_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"raw_ring": [
|
|
0.0,
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
1.0,
|
|
1.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.0,
|
|
0.6234015090582925
|
|
],
|
|
"disk_sum": 1.0,
|
|
"ring_sum": 6.49360603623317,
|
|
"normalized_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"normalized_ring": [
|
|
0.0,
|
|
0.15399763928088298,
|
|
0.0,
|
|
0.0,
|
|
0.15399763928088298,
|
|
0.15399763928088298,
|
|
0.09600236071911702,
|
|
0.0,
|
|
0.0,
|
|
0.09600236071911702,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.15399763928088298,
|
|
0.09600236071911702,
|
|
0.0,
|
|
0.0,
|
|
0.09600236071911702
|
|
],
|
|
"support": [
|
|
{
|
|
"coords": [
|
|
0,
|
|
0
|
|
],
|
|
"offset": [
|
|
0,
|
|
0
|
|
],
|
|
"radius": 0.0,
|
|
"disk": 1.0,
|
|
"ring": 0.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
0
|
|
],
|
|
"offset": [
|
|
1,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
4,
|
|
0
|
|
],
|
|
"offset": [
|
|
-1,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
1
|
|
],
|
|
"offset": [
|
|
0,
|
|
1
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
1
|
|
],
|
|
"offset": [
|
|
1,
|
|
1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
4,
|
|
1
|
|
],
|
|
"offset": [
|
|
-1,
|
|
1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
3
|
|
],
|
|
"offset": [
|
|
0,
|
|
-1
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
3
|
|
],
|
|
"offset": [
|
|
1,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
4,
|
|
3
|
|
],
|
|
"offset": [
|
|
-1,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
}
|
|
],
|
|
"warnings": []
|
|
},
|
|
"direct_disk_convolution_raw": [
|
|
0.10714285714285714,
|
|
0.5,
|
|
0.8928571428571429,
|
|
0.25,
|
|
0.6428571428571429,
|
|
0.0,
|
|
0.39285714285714285,
|
|
0.7857142857142857,
|
|
0.14285714285714285,
|
|
0.5357142857142857,
|
|
0.9285714285714286,
|
|
0.2857142857142857,
|
|
0.6785714285714286,
|
|
0.03571428571428571,
|
|
0.42857142857142855,
|
|
0.8214285714285714,
|
|
0.17857142857142858,
|
|
0.5714285714285714,
|
|
0.9642857142857143,
|
|
0.32142857142857145
|
|
],
|
|
"direct_ring_convolution_raw": [
|
|
2.854859298654704,
|
|
2.92955328759128,
|
|
3.153566818776419,
|
|
4.023246198629076,
|
|
2.41656005318385,
|
|
3.1220313739654,
|
|
3.1967253629019767,
|
|
2.775073045419599,
|
|
3.2547039882254873,
|
|
2.0380662798270297,
|
|
2.4262878700832746,
|
|
3.536696144734137,
|
|
2.7249953902049913,
|
|
3.594674770057648,
|
|
3.023702910326707,
|
|
2.693459945393972,
|
|
3.8038682200448344,
|
|
3.382215902562456,
|
|
2.8261325596540585,
|
|
3.6809234226841716
|
|
],
|
|
"M_disk_normalized": [
|
|
0.10714285714285714,
|
|
0.5,
|
|
0.8928571428571429,
|
|
0.25,
|
|
0.6428571428571429,
|
|
0.0,
|
|
0.39285714285714285,
|
|
0.7857142857142857,
|
|
0.14285714285714285,
|
|
0.5357142857142857,
|
|
0.9285714285714286,
|
|
0.2857142857142857,
|
|
0.6785714285714286,
|
|
0.03571428571428571,
|
|
0.42857142857142855,
|
|
0.8214285714285714,
|
|
0.17857142857142858,
|
|
0.5714285714285714,
|
|
0.9642857142857143,
|
|
0.32142857142857145
|
|
],
|
|
"N_ring_normalized": [
|
|
0.43964159247190165,
|
|
0.45114429043660675,
|
|
0.4856418454060926,
|
|
0.6195704168346641,
|
|
0.3721445433707979,
|
|
0.48078546135152317,
|
|
0.4922881593162283,
|
|
0.42735469782662877,
|
|
0.5012167307447998,
|
|
0.31385739579133404,
|
|
0.37364260420866596,
|
|
0.5446428571428571,
|
|
0.4196428571428572,
|
|
0.5535714285714286,
|
|
0.4656431100770483,
|
|
0.41478647308828764,
|
|
0.5857867260224788,
|
|
0.5208532645328791,
|
|
0.4352177424815642,
|
|
0.5668535174670701
|
|
]
|
|
},
|
|
{
|
|
"rank": 3,
|
|
"shape": [
|
|
4,
|
|
3,
|
|
2
|
|
],
|
|
"field": [
|
|
0.1388888888888889,
|
|
0.5,
|
|
0.8611111111111112,
|
|
0.19444444444444445,
|
|
0.5555555555555556,
|
|
0.9166666666666666,
|
|
0.25,
|
|
0.6111111111111112,
|
|
0.9722222222222222,
|
|
0.3055555555555556,
|
|
0.6666666666666666,
|
|
0.0,
|
|
0.3611111111111111,
|
|
0.7222222222222222,
|
|
0.05555555555555555,
|
|
0.4166666666666667,
|
|
0.7777777777777778,
|
|
0.1111111111111111,
|
|
0.4722222222222222,
|
|
0.8333333333333334,
|
|
0.16666666666666666,
|
|
0.5277777777777778,
|
|
0.8888888888888888,
|
|
0.2222222222222222
|
|
],
|
|
"kernel": {
|
|
"shape": [
|
|
4,
|
|
3,
|
|
2
|
|
],
|
|
"ra": 1.45,
|
|
"rr": 3.0,
|
|
"rb": 5.0,
|
|
"ri": 0.48333333333333334,
|
|
"width": 0.29,
|
|
"raw_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"raw_ring": [
|
|
0.0,
|
|
1.0,
|
|
0.0,
|
|
1.0,
|
|
1.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.6234015090582925,
|
|
1.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.6234015090582925,
|
|
1.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.6234015090582925,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.6234015090582925,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"disk_sum": 1.0,
|
|
"ring_sum": 9.98721207246634,
|
|
"normalized_disk": [
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"normalized_ring": [
|
|
0.0,
|
|
0.10012804301581735,
|
|
0.0,
|
|
0.10012804301581735,
|
|
0.10012804301581735,
|
|
0.06241997311511416,
|
|
0.0,
|
|
0.06241997311511416,
|
|
0.10012804301581735,
|
|
0.06241997311511416,
|
|
0.0,
|
|
0.06241997311511416,
|
|
0.10012804301581735,
|
|
0.06241997311511416,
|
|
0.0,
|
|
0.06241997311511416,
|
|
0.06241997311511416,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.06241997311511416,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"support": [
|
|
{
|
|
"coords": [
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"offset": [
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"radius": 0.0,
|
|
"disk": 1.0,
|
|
"ring": 0.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
0,
|
|
0
|
|
],
|
|
"offset": [
|
|
1,
|
|
0,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
3,
|
|
0,
|
|
0
|
|
],
|
|
"offset": [
|
|
-1,
|
|
0,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
1,
|
|
0
|
|
],
|
|
"offset": [
|
|
0,
|
|
1,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
1,
|
|
0
|
|
],
|
|
"offset": [
|
|
1,
|
|
1,
|
|
0
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
3,
|
|
1,
|
|
0
|
|
],
|
|
"offset": [
|
|
-1,
|
|
1,
|
|
0
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
2,
|
|
0
|
|
],
|
|
"offset": [
|
|
0,
|
|
-1,
|
|
0
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
2,
|
|
0
|
|
],
|
|
"offset": [
|
|
1,
|
|
-1,
|
|
0
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
3,
|
|
2,
|
|
0
|
|
],
|
|
"offset": [
|
|
-1,
|
|
-1,
|
|
0
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
0,
|
|
1
|
|
],
|
|
"offset": [
|
|
0,
|
|
0,
|
|
-1
|
|
],
|
|
"radius": 1.0,
|
|
"disk": 0.0,
|
|
"ring": 1.0
|
|
},
|
|
{
|
|
"coords": [
|
|
1,
|
|
0,
|
|
1
|
|
],
|
|
"offset": [
|
|
1,
|
|
0,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
3,
|
|
0,
|
|
1
|
|
],
|
|
"offset": [
|
|
-1,
|
|
0,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
1,
|
|
1
|
|
],
|
|
"offset": [
|
|
0,
|
|
1,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
},
|
|
{
|
|
"coords": [
|
|
0,
|
|
2,
|
|
1
|
|
],
|
|
"offset": [
|
|
0,
|
|
-1,
|
|
-1
|
|
],
|
|
"radius": 1.4142135623730951,
|
|
"disk": 0.0,
|
|
"ring": 0.6234015090582925
|
|
}
|
|
],
|
|
"warnings": [
|
|
"nonzero support touches periodic Nyquist offset on axis 2"
|
|
]
|
|
},
|
|
"direct_disk_convolution_raw": [
|
|
0.1388888888888889,
|
|
0.5,
|
|
0.8611111111111112,
|
|
0.19444444444444445,
|
|
0.5555555555555556,
|
|
0.9166666666666666,
|
|
0.25,
|
|
0.6111111111111112,
|
|
0.9722222222222222,
|
|
0.3055555555555556,
|
|
0.6666666666666666,
|
|
0.0,
|
|
0.3611111111111111,
|
|
0.7222222222222222,
|
|
0.05555555555555555,
|
|
0.4166666666666667,
|
|
0.7777777777777778,
|
|
0.1111111111111111,
|
|
0.4722222222222222,
|
|
0.8333333333333334,
|
|
0.16666666666666666,
|
|
0.5277777777777778,
|
|
0.8888888888888888,
|
|
0.2222222222222222
|
|
],
|
|
"direct_ring_convolution_raw": [
|
|
5.024989243811645,
|
|
5.126349726148468,
|
|
4.368073205919266,
|
|
4.46943368825609,
|
|
4.957853730727446,
|
|
4.925813310438447,
|
|
5.3287154706128455,
|
|
4.655956832680603,
|
|
3.729539537239647,
|
|
5.886455575132025,
|
|
4.4874608372595794,
|
|
5.229539537239647,
|
|
4.6638781327005345,
|
|
4.378179054902825,
|
|
5.4217994327204675,
|
|
4.108322577144979,
|
|
4.850401277125047,
|
|
5.338821319596402,
|
|
5.221263017010446,
|
|
4.041187064060779,
|
|
4.783265764040847,
|
|
5.138284903886381,
|
|
4.126349726148468,
|
|
4.868428426128536
|
|
],
|
|
"M_disk_normalized": [
|
|
0.1388888888888889,
|
|
0.5,
|
|
0.8611111111111112,
|
|
0.19444444444444445,
|
|
0.5555555555555556,
|
|
0.9166666666666666,
|
|
0.25,
|
|
0.6111111111111112,
|
|
0.9722222222222222,
|
|
0.3055555555555556,
|
|
0.6666666666666666,
|
|
0.0,
|
|
0.3611111111111111,
|
|
0.7222222222222222,
|
|
0.05555555555555555,
|
|
0.4166666666666667,
|
|
0.7777777777777778,
|
|
0.1111111111111111,
|
|
0.4722222222222222,
|
|
0.8333333333333334,
|
|
0.16666666666666666,
|
|
0.5277777777777778,
|
|
0.8888888888888888,
|
|
0.2222222222222222
|
|
],
|
|
"N_ring_normalized": [
|
|
0.5031423391583919,
|
|
0.5132913658939172,
|
|
0.4373666218585235,
|
|
0.44751564859404896,
|
|
0.4964201916164082,
|
|
0.4932120470354665,
|
|
0.5335538518605744,
|
|
0.46619184602243213,
|
|
0.3734314952139229,
|
|
0.5893992770375173,
|
|
0.4493206717449229,
|
|
0.523623559737649,
|
|
0.466984990291569,
|
|
0.4383785007402606,
|
|
0.5428741668225691,
|
|
0.41135829972722604,
|
|
0.4856611877199521,
|
|
0.5345657307423113,
|
|
0.5227948479641182,
|
|
0.4046361521852423,
|
|
0.47893904017796834,
|
|
0.5144864118838605,
|
|
0.4131633228780999,
|
|
0.487466210870826
|
|
]
|
|
}
|
|
],
|
|
"known_2d_check": {
|
|
"shape": [
|
|
64,
|
|
64
|
|
],
|
|
"ra": 10.0,
|
|
"rr": 3.0,
|
|
"rb": 10.0,
|
|
"ring_sum": 279.21631227194473,
|
|
"disk_sum": 35.52403518160772
|
|
}
|
|
}
|