|
1 |
| -from typing import TypeVar, overload |
| 1 | +from typing import Any, SupportsFloat as CanFloat, SupportsIndex as CanIndex, TypeAlias, TypeVar, overload |
2 | 2 |
|
3 | 3 | import numpy as np
|
4 | 4 | import optype.numpy as onp
|
5 | 5 |
|
6 | 6 | __all__ = ["fourier_ellipsoid", "fourier_gaussian", "fourier_shift", "fourier_uniform"]
|
7 | 7 |
|
8 |
| -_FloatArrayOutT = TypeVar("_FloatArrayOutT", bound=onp.ArrayND[np.float64 | np.float32]) |
9 |
| -_ComplexArrayOutT = TypeVar("_ComplexArrayOutT", bound=onp.ArrayND[np.complex128 | np.float64 | np.complex64 | np.float32]) |
| 8 | +### |
10 | 9 |
|
11 |
| -# |
12 |
| -@overload |
| 10 | +_ScalarComplex: TypeAlias = np.complex64 | np.complex128 |
| 11 | +_OutputScalarComplexT = TypeVar("_OutputScalarComplexT", bound=_ScalarComplex) |
| 12 | +_OutputArrayComplexT = TypeVar("_OutputArrayComplexT", bound=onp.ArrayND[_ScalarComplex]) |
| 13 | + |
| 14 | +_Scalar: TypeAlias = np.float32 | np.float64 | _ScalarComplex |
| 15 | +_OutputScalarT = TypeVar("_OutputScalarT", bound=_Scalar) |
| 16 | +_OutputArrayT = TypeVar("_OutputArrayT", bound=onp.ArrayND[_Scalar]) |
| 17 | + |
| 18 | +_Sigma: TypeAlias = CanFloat | onp.ToFloat1D |
| 19 | +_AsF32: TypeAlias = np.float16 | np.float32 |
| 20 | +_InputF64: TypeAlias = onp.ToJustFloat64_ND | onp.ToIntND |
| 21 | +_InputC128: TypeAlias = onp.ToJustComplex128_ND # pro forma |
| 22 | +# these *should* be equivalent to `onp.ArrayND[Never, {}]`, but both mypy and pyright currently have bugs with `Never` unions |
| 23 | +_InputF32: TypeAlias = onp.CanArrayND[_AsF32] | onp.SequenceND[onp.CanArray[Any, np.dtype[_AsF32]]] |
| 24 | +_InputC64: TypeAlias = onp.CanArrayND[np.complex64] | onp.SequenceND[onp.CanArray[Any, np.dtype[np.complex64]]] |
| 25 | + |
| 26 | +### |
| 27 | +# NOTE: The gaussian, uniform, and ellipsoid function signatures are equivalent (except for the 2nd *name*): Keep them in sync! |
| 28 | +# NOTE: The [overload-overlap] mypy errors are false positives (probably a union/join thing). |
| 29 | + |
| 30 | +# undocumented |
| 31 | +@overload # output: <T: ndarray> |
| 32 | +def _get_output_fourier(output: _OutputArrayT, input: onp.ToComplex128_ND) -> _OutputArrayT: ... |
| 33 | +@overload # output: <T: scalar type> |
| 34 | +def _get_output_fourier(output: type[_OutputScalarT], input: onp.ToComplex128_ND) -> onp.ArrayND[_OutputScalarT]: ... |
| 35 | +@overload # +float32 |
| 36 | +def _get_output_fourier(output: None, input: _InputF32) -> onp.ArrayND[np.float32]: ... # type: ignore[overload-overlap] |
| 37 | +@overload # +float64 |
| 38 | +def _get_output_fourier(output: None, input: _InputF64) -> onp.ArrayND[np.float64]: ... |
| 39 | +@overload # ~complex64 |
| 40 | +def _get_output_fourier(output: None, input: _InputC64) -> onp.ArrayND[np.complex64]: ... # type: ignore[overload-overlap] |
| 41 | +@overload # ~complex128 |
| 42 | +def _get_output_fourier(output: None, input: _InputC128) -> onp.ArrayND[np.complex128]: ... |
| 43 | +@overload # fallback |
| 44 | +def _get_output_fourier(output: None, input: onp.ToComplex128_ND) -> onp.ArrayND[_Scalar]: ... |
| 45 | + |
| 46 | +# undocumented |
| 47 | +@overload # output: complex64 array or scalar-type |
| 48 | +def _get_output_fourier_complex( # type: ignore[overload-overlap] |
| 49 | + output: onp.ArrayND[np.complex64] | type[np.complex64], input: onp.ToComplex128_ND |
| 50 | +) -> onp.ArrayND[np.complex64]: ... |
| 51 | +@overload # output: complex128 array or scalar-type |
| 52 | +def _get_output_fourier_complex( |
| 53 | + output: onp.ArrayND[np.complex128] | type[np.complex128], input: onp.ToComplex128_ND |
| 54 | +) -> onp.ArrayND[np.complex128]: ... |
| 55 | +@overload # ~complex64 |
| 56 | +def _get_output_fourier_complex(output: None, input: _InputC64) -> onp.ArrayND[np.complex64]: ... # type: ignore[overload-overlap] |
| 57 | +@overload # ~complex128 | +floating |
| 58 | +def _get_output_fourier_complex(output: None, input: _InputC128 | onp.ToFloat64_ND) -> onp.ArrayND[np.complex128]: ... |
| 59 | +@overload # fallback |
| 60 | +def _get_output_fourier_complex(output: None, input: onp.ToComplex128_ND) -> onp.ArrayND[_ScalarComplex]: ... |
| 61 | + |
| 62 | +# NOTE: Keep in sync with `fourier_uniform` and `fourier_ellipsoid` (but note the different 2nd parameter names) |
| 63 | +@overload # output: <T: ndarray> (positional) |
13 | 64 | def fourier_gaussian(
|
14 |
| - input: _FloatArrayOutT | onp.ToFloat | onp.ToFloatND, |
15 |
| - sigma: onp.ToFloat | onp.ToFloatND, |
16 |
| - n: onp.ToInt = -1, |
17 |
| - axis: onp.ToInt = -1, |
18 |
| - output: _FloatArrayOutT | None = None, |
19 |
| -) -> _FloatArrayOutT: ... |
20 |
| -@overload |
| 65 | + input: onp.ToComplex128_ND, sigma: _Sigma, n: CanIndex, axis: int, output: _OutputArrayT |
| 66 | +) -> _OutputArrayT: ... |
| 67 | +@overload # output: <T: ndarray> (keyword) |
21 | 68 | def fourier_gaussian(
|
22 |
| - input: _ComplexArrayOutT | onp.ToComplex | onp.ToComplexND, |
23 |
| - sigma: onp.ToFloat | onp.ToFloatND, |
24 |
| - n: onp.ToInt = -1, |
25 |
| - axis: onp.ToInt = -1, |
26 |
| - output: _ComplexArrayOutT | None = None, |
27 |
| -) -> _ComplexArrayOutT: ... |
| 69 | + input: onp.ToComplex128_ND, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: _OutputArrayT |
| 70 | +) -> _OutputArrayT: ... |
| 71 | +@overload # output: <T: scalar type> (positional) |
| 72 | +def fourier_gaussian( |
| 73 | + input: onp.ToComplex128_ND, sigma: _Sigma, n: CanIndex, axis: int, output: type[_OutputScalarT] |
| 74 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 75 | +@overload # output: <T: scalar type> (keyword) |
| 76 | +def fourier_gaussian( |
| 77 | + input: onp.ToComplex128_ND, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: type[_OutputScalarT] |
| 78 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 79 | +@overload # +float32 |
| 80 | +def fourier_gaussian( # type: ignore[overload-overlap] |
| 81 | + input: _InputF32, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 82 | +) -> onp.ArrayND[np.float32]: ... |
| 83 | +@overload # +float64 |
| 84 | +def fourier_gaussian( |
| 85 | + input: _InputF64, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 86 | +) -> onp.ArrayND[np.float64]: ... |
| 87 | +@overload # ~complex64 |
| 88 | +def fourier_gaussian( # type: ignore[overload-overlap] |
| 89 | + input: _InputC64, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 90 | +) -> onp.ArrayND[np.complex64]: ... |
| 91 | +@overload # ~complex128 |
| 92 | +def fourier_gaussian( |
| 93 | + input: _InputC128, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 94 | +) -> onp.ArrayND[np.complex128]: ... |
| 95 | +@overload # fallback |
| 96 | +def fourier_gaussian( |
| 97 | + input: onp.ToComplex128_ND, sigma: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 98 | +) -> onp.ArrayND[_Scalar]: ... |
28 | 99 |
|
29 |
| -# |
30 |
| -@overload |
| 100 | +# NOTE: Keep in sync with `fourier_ellipsoid` and `fourier_gaussian` (but note the different 2nd parameter name) |
| 101 | +@overload # output: <T: ndarray> (positional) |
| 102 | +def fourier_uniform(input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex, axis: int, output: _OutputArrayT) -> _OutputArrayT: ... |
| 103 | +@overload # output: <T: ndarray> (keyword) |
| 104 | +def fourier_uniform( |
| 105 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: _OutputArrayT |
| 106 | +) -> _OutputArrayT: ... |
| 107 | +@overload # output: <T: scalar type> (positional) |
31 | 108 | def fourier_uniform(
|
32 |
| - input: _FloatArrayOutT | onp.ToFloat | onp.ToFloatND, |
33 |
| - size: onp.ToFloat | onp.ToFloatND, |
34 |
| - n: onp.ToInt = -1, |
35 |
| - axis: onp.ToInt = -1, |
36 |
| - output: _FloatArrayOutT | None = None, |
37 |
| -) -> _FloatArrayOutT: ... |
38 |
| -@overload |
| 109 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex, axis: int, output: type[_OutputScalarT] |
| 110 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 111 | +@overload # output: <T: scalar type> (keyword) |
39 | 112 | def fourier_uniform(
|
40 |
| - input: _ComplexArrayOutT | onp.ToComplex | onp.ToComplexND, |
41 |
| - size: onp.ToFloat | onp.ToFloatND, |
42 |
| - n: onp.ToInt = -1, |
43 |
| - axis: onp.ToInt = -1, |
44 |
| - output: _ComplexArrayOutT | None = None, |
45 |
| -) -> _ComplexArrayOutT: ... |
| 113 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: type[_OutputScalarT] |
| 114 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 115 | +@overload # +float32 |
| 116 | +def fourier_uniform( # type: ignore[overload-overlap] |
| 117 | + input: _InputF32, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 118 | +) -> onp.ArrayND[np.float32]: ... |
| 119 | +@overload # +float64 |
| 120 | +def fourier_uniform( |
| 121 | + input: _InputF64, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 122 | +) -> onp.ArrayND[np.float64]: ... |
| 123 | +@overload # ~complex64 |
| 124 | +def fourier_uniform( # type: ignore[overload-overlap] |
| 125 | + input: _InputC64, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 126 | +) -> onp.ArrayND[np.complex64]: ... |
| 127 | +@overload # ~complex128 |
| 128 | +def fourier_uniform( |
| 129 | + input: _InputC128, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 130 | +) -> onp.ArrayND[np.complex128]: ... |
| 131 | +@overload # fallback |
| 132 | +def fourier_uniform( |
| 133 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 134 | +) -> onp.ArrayND[_Scalar]: ... |
46 | 135 |
|
47 |
| -# |
48 |
| -@overload |
| 136 | +# NOTE: Keep in sync with `fourier_uniform` and `fourier_gaussian` (but note the different 2nd parameter name) |
| 137 | +@overload # output: <T: ndarray> (positional) |
| 138 | +def fourier_ellipsoid( |
| 139 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex, axis: int, output: _OutputArrayT |
| 140 | +) -> _OutputArrayT: ... |
| 141 | +@overload # output: <T: ndarray> (keyword) |
| 142 | +def fourier_ellipsoid( |
| 143 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: _OutputArrayT |
| 144 | +) -> _OutputArrayT: ... |
| 145 | +@overload # output: <T: scalar type> (positional) |
| 146 | +def fourier_ellipsoid( |
| 147 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex, axis: int, output: type[_OutputScalarT] |
| 148 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 149 | +@overload # output: <T: scalar type> (keyword) |
49 | 150 | def fourier_ellipsoid(
|
50 |
| - input: _FloatArrayOutT | onp.ToFloat | onp.ToFloatND, |
51 |
| - size: onp.ToFloat | onp.ToFloatND, |
52 |
| - n: onp.ToInt = -1, |
53 |
| - axis: onp.ToInt = -1, |
54 |
| - output: _FloatArrayOutT | None = None, |
55 |
| -) -> _FloatArrayOutT: ... |
56 |
| -@overload |
| 151 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: type[_OutputScalarT] |
| 152 | +) -> onp.ArrayND[_OutputScalarT]: ... |
| 153 | +@overload # +float32 |
| 154 | +def fourier_ellipsoid( # type: ignore[overload-overlap] |
| 155 | + input: _InputF32, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 156 | +) -> onp.ArrayND[np.float32]: ... |
| 157 | +@overload # +float64 |
57 | 158 | def fourier_ellipsoid(
|
58 |
| - input: _ComplexArrayOutT | onp.ToComplex | onp.ToComplexND, |
59 |
| - size: onp.ToFloat | onp.ToFloatND, |
60 |
| - n: onp.ToInt = -1, |
61 |
| - axis: onp.ToInt = -1, |
62 |
| - output: _ComplexArrayOutT | None = None, |
63 |
| -) -> _ComplexArrayOutT: ... |
| 159 | + input: _InputF64, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 160 | +) -> onp.ArrayND[np.float64]: ... |
| 161 | +@overload # ~complex64 |
| 162 | +def fourier_ellipsoid( # type: ignore[overload-overlap] |
| 163 | + input: _InputC64, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 164 | +) -> onp.ArrayND[np.complex64]: ... |
| 165 | +@overload # ~complex128 |
| 166 | +def fourier_ellipsoid( |
| 167 | + input: _InputC128, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 168 | +) -> onp.ArrayND[np.complex128]: ... |
| 169 | +@overload # fallback |
| 170 | +def fourier_ellipsoid( |
| 171 | + input: onp.ToComplex128_ND, size: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 172 | +) -> onp.ArrayND[_Scalar]: ... |
64 | 173 |
|
65 |
| -# |
66 |
| -@overload |
| 174 | +# NOTE: Unlike the other three functions, this always returns complex output |
| 175 | +@overload # output: <T: ndarray> (positional) |
| 176 | +def fourier_shift( |
| 177 | + input: onp.ToComplex128_ND, shift: _Sigma, n: CanIndex, axis: int, output: _OutputArrayComplexT |
| 178 | +) -> _OutputArrayComplexT: ... |
| 179 | +@overload # output: <T: ndarray> (keyword) |
| 180 | +def fourier_shift( |
| 181 | + input: onp.ToComplex128_ND, shift: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: _OutputArrayComplexT |
| 182 | +) -> _OutputArrayComplexT: ... |
| 183 | +@overload # output: <T: scalar type> (positional) |
| 184 | +def fourier_shift( |
| 185 | + input: onp.ToComplex128_ND, shift: _Sigma, n: CanIndex, axis: int, output: type[_OutputScalarComplexT] |
| 186 | +) -> onp.ArrayND[_OutputScalarComplexT]: ... |
| 187 | +@overload # output: <T: scalar type> (keyword) |
| 188 | +def fourier_shift( |
| 189 | + input: onp.ToComplex128_ND, shift: _Sigma, n: CanIndex = -1, axis: int = -1, *, output: type[_OutputScalarComplexT] |
| 190 | +) -> onp.ArrayND[_OutputScalarComplexT]: ... |
| 191 | +@overload # ~complex64 |
| 192 | +def fourier_shift( # type: ignore[overload-overlap] |
| 193 | + input: _InputC64, shift: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 194 | +) -> onp.ArrayND[np.complex64]: ... |
| 195 | +@overload # ~complex128 | +floating |
67 | 196 | def fourier_shift(
|
68 |
| - input: _FloatArrayOutT | onp.ToFloat | onp.ToFloatND, |
69 |
| - shift: onp.ToFloat | onp.ToFloatND, |
70 |
| - n: onp.ToInt = -1, |
71 |
| - axis: onp.ToInt = -1, |
72 |
| - output: _FloatArrayOutT | None = None, |
73 |
| -) -> _FloatArrayOutT: ... |
74 |
| -@overload |
| 197 | + input: _InputC128 | onp.ToFloat64_ND, shift: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 198 | +) -> onp.ArrayND[np.complex128]: ... |
| 199 | +@overload # fallback |
75 | 200 | def fourier_shift(
|
76 |
| - input: _ComplexArrayOutT | onp.ToComplex | onp.ToComplexND, |
77 |
| - shift: onp.ToFloat | onp.ToFloatND, |
78 |
| - n: onp.ToInt = -1, |
79 |
| - axis: onp.ToInt = -1, |
80 |
| - output: _ComplexArrayOutT | None = None, |
81 |
| -) -> _ComplexArrayOutT: ... |
| 201 | + input: onp.ToComplex128_ND, shift: _Sigma, n: CanIndex = -1, axis: int = -1, output: None = None |
| 202 | +) -> onp.ArrayND[_ScalarComplex]: ... |
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