ZTWHHH commited on
Commit
fb452b3
·
verified ·
1 Parent(s): b51cb3c

Add files using upload-large-folder tool

Browse files
This view is limited to 50 files because it contains too many changes.   See raw diff
Files changed (50) hide show
  1. .gitattributes +3 -0
  2. aria/lib/python3.10/site-packages/nvidia/nccl/lib/libnccl.so.2 +3 -0
  3. evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/__init__.py +25 -0
  4. evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/__pycache__/euler.cpython-310.pyc +0 -0
  5. evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/finite_diff.py +476 -0
  6. evalkit_cambrian/lib/python3.10/site-packages/sympy/polys/matrices/__pycache__/domainmatrix.cpython-310.pyc +3 -0
  7. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/__init__.cpython-310.pyc +0 -0
  8. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/aesaracode.cpython-310.pyc +0 -0
  9. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/cxx.cpython-310.pyc +0 -0
  10. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/dot.cpython-310.pyc +0 -0
  11. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/fortran.cpython-310.pyc +0 -0
  12. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/octave.cpython-310.pyc +0 -0
  13. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/python.cpython-310.pyc +0 -0
  14. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/pretty.cpython-310.pyc +0 -0
  15. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/pretty_symbology.cpython-310.pyc +0 -0
  16. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/stringpict.cpython-310.pyc +0 -0
  17. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/pretty.py +0 -0
  18. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/stringpict.py +537 -0
  19. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/tests/__pycache__/__init__.cpython-310.pyc +0 -0
  20. evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/tests/test_pretty.py +0 -0
  21. infer_4_47_1/lib/python3.10/site-packages/numpy/core/__init__.py +180 -0
  22. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_add_newdocs_scalars.py +372 -0
  23. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_dtype.py +369 -0
  24. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_machar.py +356 -0
  25. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_multiarray_tests.cpython-310-x86_64-linux-gnu.so +3 -0
  26. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_rational_tests.cpython-310-x86_64-linux-gnu.so +0 -0
  27. infer_4_47_1/lib/python3.10/site-packages/numpy/core/_string_helpers.py +100 -0
  28. infer_4_47_1/lib/python3.10/site-packages/numpy/core/cversions.py +13 -0
  29. infer_4_47_1/lib/python3.10/site-packages/numpy/core/memmap.py +338 -0
  30. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_array_interface.cpython-310.pyc +0 -0
  31. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_casting_unittests.cpython-310.pyc +0 -0
  32. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_conversion_utils.cpython-310.pyc +0 -0
  33. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_cpu_dispatcher.cpython-310.pyc +0 -0
  34. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_cython.cpython-310.pyc +0 -0
  35. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_deprecations.cpython-310.pyc +0 -0
  36. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_dlpack.cpython-310.pyc +0 -0
  37. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_einsum.cpython-310.pyc +0 -0
  38. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_hashtable.cpython-310.pyc +0 -0
  39. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_longdouble.cpython-310.pyc +0 -0
  40. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_mem_overlap.cpython-310.pyc +0 -0
  41. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_mem_policy.cpython-310.pyc +0 -0
  42. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalar_ctors.cpython-310.pyc +0 -0
  43. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalarinherit.cpython-310.pyc +0 -0
  44. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalarprint.cpython-310.pyc +0 -0
  45. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_simd_module.cpython-310.pyc +0 -0
  46. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_ufunc.cpython-310.pyc +0 -0
  47. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_umath_complex.cpython-310.pyc +0 -0
  48. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_unicode.cpython-310.pyc +0 -0
  49. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/examples/cython/__pycache__/setup.cpython-310.pyc +0 -0
  50. infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/examples/cython/checks.pyx +35 -0
.gitattributes CHANGED
@@ -910,3 +910,6 @@ infer_4_47_1/lib/python3.10/site-packages/pandas/io/formats/__pycache__/style.cp
910
  emu3/lib/python3.10/site-packages/nvidia/cufft/lib/libcufft.so.11 filter=lfs diff=lfs merge=lfs -text
911
  evalkit_cambrian/lib/python3.10/site-packages/sympy/matrices/__pycache__/matrixbase.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
912
  evalkit_cambrian/lib/python3.10/site-packages/safetensors/_safetensors_rust.abi3.so filter=lfs diff=lfs merge=lfs -text
 
 
 
 
910
  emu3/lib/python3.10/site-packages/nvidia/cufft/lib/libcufft.so.11 filter=lfs diff=lfs merge=lfs -text
911
  evalkit_cambrian/lib/python3.10/site-packages/sympy/matrices/__pycache__/matrixbase.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
912
  evalkit_cambrian/lib/python3.10/site-packages/safetensors/_safetensors_rust.abi3.so filter=lfs diff=lfs merge=lfs -text
913
+ evalkit_cambrian/lib/python3.10/site-packages/sympy/polys/matrices/__pycache__/domainmatrix.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
914
+ aria/lib/python3.10/site-packages/nvidia/nccl/lib/libnccl.so.2 filter=lfs diff=lfs merge=lfs -text
915
+ infer_4_47_1/lib/python3.10/site-packages/numpy/core/_multiarray_tests.cpython-310-x86_64-linux-gnu.so filter=lfs diff=lfs merge=lfs -text
aria/lib/python3.10/site-packages/nvidia/nccl/lib/libnccl.so.2 ADDED
@@ -0,0 +1,3 @@
 
 
 
 
1
+ version https://git-lfs.github.com/spec/v1
2
+ oid sha256:4de8ef6a9d27e45e0e3d067c81fdc0a7103cb318e34557da25949a4230a9caaf
3
+ size 192362072
evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/__init__.py ADDED
@@ -0,0 +1,25 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Calculus-related methods."""
2
+
3
+ from .euler import euler_equations
4
+ from .singularities import (singularities, is_increasing,
5
+ is_strictly_increasing, is_decreasing,
6
+ is_strictly_decreasing, is_monotonic)
7
+ from .finite_diff import finite_diff_weights, apply_finite_diff, differentiate_finite
8
+ from .util import (periodicity, not_empty_in, is_convex,
9
+ stationary_points, minimum, maximum)
10
+ from .accumulationbounds import AccumBounds
11
+
12
+ __all__ = [
13
+ 'euler_equations',
14
+
15
+ 'singularities', 'is_increasing',
16
+ 'is_strictly_increasing', 'is_decreasing',
17
+ 'is_strictly_decreasing', 'is_monotonic',
18
+
19
+ 'finite_diff_weights', 'apply_finite_diff', 'differentiate_finite',
20
+
21
+ 'periodicity', 'not_empty_in', 'is_convex', 'stationary_points',
22
+ 'minimum', 'maximum',
23
+
24
+ 'AccumBounds'
25
+ ]
evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/__pycache__/euler.cpython-310.pyc ADDED
Binary file (3.81 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/calculus/finite_diff.py ADDED
@@ -0,0 +1,476 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Finite difference weights
3
+ =========================
4
+
5
+ This module implements an algorithm for efficient generation of finite
6
+ difference weights for ordinary differentials of functions for
7
+ derivatives from 0 (interpolation) up to arbitrary order.
8
+
9
+ The core algorithm is provided in the finite difference weight generating
10
+ function (``finite_diff_weights``), and two convenience functions are provided
11
+ for:
12
+
13
+ - estimating a derivative (or interpolate) directly from a series of points
14
+ is also provided (``apply_finite_diff``).
15
+ - differentiating by using finite difference approximations
16
+ (``differentiate_finite``).
17
+
18
+ """
19
+
20
+ from sympy.core.function import Derivative
21
+ from sympy.core.singleton import S
22
+ from sympy.core.function import Subs
23
+ from sympy.core.traversal import preorder_traversal
24
+ from sympy.utilities.exceptions import sympy_deprecation_warning
25
+ from sympy.utilities.iterables import iterable
26
+
27
+
28
+
29
+ def finite_diff_weights(order, x_list, x0=S.One):
30
+ """
31
+ Calculates the finite difference weights for an arbitrarily spaced
32
+ one-dimensional grid (``x_list``) for derivatives at ``x0`` of order
33
+ 0, 1, ..., up to ``order`` using a recursive formula. Order of accuracy
34
+ is at least ``len(x_list) - order``, if ``x_list`` is defined correctly.
35
+
36
+ Parameters
37
+ ==========
38
+
39
+ order: int
40
+ Up to what derivative order weights should be calculated.
41
+ 0 corresponds to interpolation.
42
+ x_list: sequence
43
+ Sequence of (unique) values for the independent variable.
44
+ It is useful (but not necessary) to order ``x_list`` from
45
+ nearest to furthest from ``x0``; see examples below.
46
+ x0: Number or Symbol
47
+ Root or value of the independent variable for which the finite
48
+ difference weights should be generated. Default is ``S.One``.
49
+
50
+ Returns
51
+ =======
52
+
53
+ list
54
+ A list of sublists, each corresponding to coefficients for
55
+ increasing derivative order, and each containing lists of
56
+ coefficients for increasing subsets of x_list.
57
+
58
+ Examples
59
+ ========
60
+
61
+ >>> from sympy import finite_diff_weights, S
62
+ >>> res = finite_diff_weights(1, [-S(1)/2, S(1)/2, S(3)/2, S(5)/2], 0)
63
+ >>> res
64
+ [[[1, 0, 0, 0],
65
+ [1/2, 1/2, 0, 0],
66
+ [3/8, 3/4, -1/8, 0],
67
+ [5/16, 15/16, -5/16, 1/16]],
68
+ [[0, 0, 0, 0],
69
+ [-1, 1, 0, 0],
70
+ [-1, 1, 0, 0],
71
+ [-23/24, 7/8, 1/8, -1/24]]]
72
+ >>> res[0][-1] # FD weights for 0th derivative, using full x_list
73
+ [5/16, 15/16, -5/16, 1/16]
74
+ >>> res[1][-1] # FD weights for 1st derivative
75
+ [-23/24, 7/8, 1/8, -1/24]
76
+ >>> res[1][-2] # FD weights for 1st derivative, using x_list[:-1]
77
+ [-1, 1, 0, 0]
78
+ >>> res[1][-1][0] # FD weight for 1st deriv. for x_list[0]
79
+ -23/24
80
+ >>> res[1][-1][1] # FD weight for 1st deriv. for x_list[1], etc.
81
+ 7/8
82
+
83
+ Each sublist contains the most accurate formula at the end.
84
+ Note, that in the above example ``res[1][1]`` is the same as ``res[1][2]``.
85
+ Since res[1][2] has an order of accuracy of
86
+ ``len(x_list[:3]) - order = 3 - 1 = 2``, the same is true for ``res[1][1]``!
87
+
88
+ >>> res = finite_diff_weights(1, [S(0), S(1), -S(1), S(2), -S(2)], 0)[1]
89
+ >>> res
90
+ [[0, 0, 0, 0, 0],
91
+ [-1, 1, 0, 0, 0],
92
+ [0, 1/2, -1/2, 0, 0],
93
+ [-1/2, 1, -1/3, -1/6, 0],
94
+ [0, 2/3, -2/3, -1/12, 1/12]]
95
+ >>> res[0] # no approximation possible, using x_list[0] only
96
+ [0, 0, 0, 0, 0]
97
+ >>> res[1] # classic forward step approximation
98
+ [-1, 1, 0, 0, 0]
99
+ >>> res[2] # classic centered approximation
100
+ [0, 1/2, -1/2, 0, 0]
101
+ >>> res[3:] # higher order approximations
102
+ [[-1/2, 1, -1/3, -1/6, 0], [0, 2/3, -2/3, -1/12, 1/12]]
103
+
104
+ Let us compare this to a differently defined ``x_list``. Pay attention to
105
+ ``foo[i][k]`` corresponding to the gridpoint defined by ``x_list[k]``.
106
+
107
+ >>> foo = finite_diff_weights(1, [-S(2), -S(1), S(0), S(1), S(2)], 0)[1]
108
+ >>> foo
109
+ [[0, 0, 0, 0, 0],
110
+ [-1, 1, 0, 0, 0],
111
+ [1/2, -2, 3/2, 0, 0],
112
+ [1/6, -1, 1/2, 1/3, 0],
113
+ [1/12, -2/3, 0, 2/3, -1/12]]
114
+ >>> foo[1] # not the same and of lower accuracy as res[1]!
115
+ [-1, 1, 0, 0, 0]
116
+ >>> foo[2] # classic double backward step approximation
117
+ [1/2, -2, 3/2, 0, 0]
118
+ >>> foo[4] # the same as res[4]
119
+ [1/12, -2/3, 0, 2/3, -1/12]
120
+
121
+ Note that, unless you plan on using approximations based on subsets of
122
+ ``x_list``, the order of gridpoints does not matter.
123
+
124
+ The capability to generate weights at arbitrary points can be
125
+ used e.g. to minimize Runge's phenomenon by using Chebyshev nodes:
126
+
127
+ >>> from sympy import cos, symbols, pi, simplify
128
+ >>> N, (h, x) = 4, symbols('h x')
129
+ >>> x_list = [x+h*cos(i*pi/(N)) for i in range(N,-1,-1)] # chebyshev nodes
130
+ >>> print(x_list)
131
+ [-h + x, -sqrt(2)*h/2 + x, x, sqrt(2)*h/2 + x, h + x]
132
+ >>> mycoeffs = finite_diff_weights(1, x_list, 0)[1][4]
133
+ >>> [simplify(c) for c in mycoeffs] #doctest: +NORMALIZE_WHITESPACE
134
+ [(h**3/2 + h**2*x - 3*h*x**2 - 4*x**3)/h**4,
135
+ (-sqrt(2)*h**3 - 4*h**2*x + 3*sqrt(2)*h*x**2 + 8*x**3)/h**4,
136
+ (6*h**2*x - 8*x**3)/h**4,
137
+ (sqrt(2)*h**3 - 4*h**2*x - 3*sqrt(2)*h*x**2 + 8*x**3)/h**4,
138
+ (-h**3/2 + h**2*x + 3*h*x**2 - 4*x**3)/h**4]
139
+
140
+ Notes
141
+ =====
142
+
143
+ If weights for a finite difference approximation of 3rd order
144
+ derivative is wanted, weights for 0th, 1st and 2nd order are
145
+ calculated "for free", so are formulae using subsets of ``x_list``.
146
+ This is something one can take advantage of to save computational cost.
147
+ Be aware that one should define ``x_list`` from nearest to furthest from
148
+ ``x0``. If not, subsets of ``x_list`` will yield poorer approximations,
149
+ which might not grand an order of accuracy of ``len(x_list) - order``.
150
+
151
+ See also
152
+ ========
153
+
154
+ sympy.calculus.finite_diff.apply_finite_diff
155
+
156
+ References
157
+ ==========
158
+
159
+ .. [1] Generation of Finite Difference Formulas on Arbitrarily Spaced
160
+ Grids, Bengt Fornberg; Mathematics of computation; 51; 184;
161
+ (1988); 699-706; doi:10.1090/S0025-5718-1988-0935077-0
162
+
163
+ """
164
+ # The notation below closely corresponds to the one used in the paper.
165
+ order = S(order)
166
+ if not order.is_number:
167
+ raise ValueError("Cannot handle symbolic order.")
168
+ if order < 0:
169
+ raise ValueError("Negative derivative order illegal.")
170
+ if int(order) != order:
171
+ raise ValueError("Non-integer order illegal")
172
+ M = order
173
+ N = len(x_list) - 1
174
+ delta = [[[0 for nu in range(N+1)] for n in range(N+1)] for
175
+ m in range(M+1)]
176
+ delta[0][0][0] = S.One
177
+ c1 = S.One
178
+ for n in range(1, N+1):
179
+ c2 = S.One
180
+ for nu in range(n):
181
+ c3 = x_list[n] - x_list[nu]
182
+ c2 = c2 * c3
183
+ if n <= M:
184
+ delta[n][n-1][nu] = 0
185
+ for m in range(min(n, M)+1):
186
+ delta[m][n][nu] = (x_list[n]-x0)*delta[m][n-1][nu] -\
187
+ m*delta[m-1][n-1][nu]
188
+ delta[m][n][nu] /= c3
189
+ for m in range(min(n, M)+1):
190
+ delta[m][n][n] = c1/c2*(m*delta[m-1][n-1][n-1] -
191
+ (x_list[n-1]-x0)*delta[m][n-1][n-1])
192
+ c1 = c2
193
+ return delta
194
+
195
+
196
+ def apply_finite_diff(order, x_list, y_list, x0=S.Zero):
197
+ """
198
+ Calculates the finite difference approximation of
199
+ the derivative of requested order at ``x0`` from points
200
+ provided in ``x_list`` and ``y_list``.
201
+
202
+ Parameters
203
+ ==========
204
+
205
+ order: int
206
+ order of derivative to approximate. 0 corresponds to interpolation.
207
+ x_list: sequence
208
+ Sequence of (unique) values for the independent variable.
209
+ y_list: sequence
210
+ The function value at corresponding values for the independent
211
+ variable in x_list.
212
+ x0: Number or Symbol
213
+ At what value of the independent variable the derivative should be
214
+ evaluated. Defaults to 0.
215
+
216
+ Returns
217
+ =======
218
+
219
+ sympy.core.add.Add or sympy.core.numbers.Number
220
+ The finite difference expression approximating the requested
221
+ derivative order at ``x0``.
222
+
223
+ Examples
224
+ ========
225
+
226
+ >>> from sympy import apply_finite_diff
227
+ >>> cube = lambda arg: (1.0*arg)**3
228
+ >>> xlist = range(-3,3+1)
229
+ >>> apply_finite_diff(2, xlist, map(cube, xlist), 2) - 12 # doctest: +SKIP
230
+ -3.55271367880050e-15
231
+
232
+ we see that the example above only contain rounding errors.
233
+ apply_finite_diff can also be used on more abstract objects:
234
+
235
+ >>> from sympy import IndexedBase, Idx
236
+ >>> x, y = map(IndexedBase, 'xy')
237
+ >>> i = Idx('i')
238
+ >>> x_list, y_list = zip(*[(x[i+j], y[i+j]) for j in range(-1,2)])
239
+ >>> apply_finite_diff(1, x_list, y_list, x[i])
240
+ ((x[i + 1] - x[i])/(-x[i - 1] + x[i]) - 1)*y[i]/(x[i + 1] - x[i]) -
241
+ (x[i + 1] - x[i])*y[i - 1]/((x[i + 1] - x[i - 1])*(-x[i - 1] + x[i])) +
242
+ (-x[i - 1] + x[i])*y[i + 1]/((x[i + 1] - x[i - 1])*(x[i + 1] - x[i]))
243
+
244
+ Notes
245
+ =====
246
+
247
+ Order = 0 corresponds to interpolation.
248
+ Only supply so many points you think makes sense
249
+ to around x0 when extracting the derivative (the function
250
+ need to be well behaved within that region). Also beware
251
+ of Runge's phenomenon.
252
+
253
+ See also
254
+ ========
255
+
256
+ sympy.calculus.finite_diff.finite_diff_weights
257
+
258
+ References
259
+ ==========
260
+
261
+ Fortran 90 implementation with Python interface for numerics: finitediff_
262
+
263
+ .. _finitediff: https://github.com/bjodah/finitediff
264
+
265
+ """
266
+
267
+ # In the original paper the following holds for the notation:
268
+ # M = order
269
+ # N = len(x_list) - 1
270
+
271
+ N = len(x_list) - 1
272
+ if len(x_list) != len(y_list):
273
+ raise ValueError("x_list and y_list not equal in length.")
274
+
275
+ delta = finite_diff_weights(order, x_list, x0)
276
+
277
+ derivative = 0
278
+ for nu in range(len(x_list)):
279
+ derivative += delta[order][N][nu]*y_list[nu]
280
+ return derivative
281
+
282
+
283
+ def _as_finite_diff(derivative, points=1, x0=None, wrt=None):
284
+ """
285
+ Returns an approximation of a derivative of a function in
286
+ the form of a finite difference formula. The expression is a
287
+ weighted sum of the function at a number of discrete values of
288
+ (one of) the independent variable(s).
289
+
290
+ Parameters
291
+ ==========
292
+
293
+ derivative: a Derivative instance
294
+
295
+ points: sequence or coefficient, optional
296
+ If sequence: discrete values (length >= order+1) of the
297
+ independent variable used for generating the finite
298
+ difference weights.
299
+ If it is a coefficient, it will be used as the step-size
300
+ for generating an equidistant sequence of length order+1
301
+ centered around ``x0``. default: 1 (step-size 1)
302
+
303
+ x0: number or Symbol, optional
304
+ the value of the independent variable (``wrt``) at which the
305
+ derivative is to be approximated. Default: same as ``wrt``.
306
+
307
+ wrt: Symbol, optional
308
+ "with respect to" the variable for which the (partial)
309
+ derivative is to be approximated for. If not provided it
310
+ is required that the Derivative is ordinary. Default: ``None``.
311
+
312
+ Examples
313
+ ========
314
+
315
+ >>> from sympy import symbols, Function, exp, sqrt, Symbol
316
+ >>> from sympy.calculus.finite_diff import _as_finite_diff
317
+ >>> x, h = symbols('x h')
318
+ >>> f = Function('f')
319
+ >>> _as_finite_diff(f(x).diff(x))
320
+ -f(x - 1/2) + f(x + 1/2)
321
+
322
+ The default step size and number of points are 1 and ``order + 1``
323
+ respectively. We can change the step size by passing a symbol
324
+ as a parameter:
325
+
326
+ >>> _as_finite_diff(f(x).diff(x), h)
327
+ -f(-h/2 + x)/h + f(h/2 + x)/h
328
+
329
+ We can also specify the discretized values to be used in a sequence:
330
+
331
+ >>> _as_finite_diff(f(x).diff(x), [x, x+h, x+2*h])
332
+ -3*f(x)/(2*h) + 2*f(h + x)/h - f(2*h + x)/(2*h)
333
+
334
+ The algorithm is not restricted to use equidistant spacing, nor
335
+ do we need to make the approximation around ``x0``, but we can get
336
+ an expression estimating the derivative at an offset:
337
+
338
+ >>> e, sq2 = exp(1), sqrt(2)
339
+ >>> xl = [x-h, x+h, x+e*h]
340
+ >>> _as_finite_diff(f(x).diff(x, 1), xl, x+h*sq2)
341
+ 2*h*((h + sqrt(2)*h)/(2*h) - (-sqrt(2)*h + h)/(2*h))*f(E*h + x)/((-h + E*h)*(h + E*h)) +
342
+ (-(-sqrt(2)*h + h)/(2*h) - (-sqrt(2)*h + E*h)/(2*h))*f(-h + x)/(h + E*h) +
343
+ (-(h + sqrt(2)*h)/(2*h) + (-sqrt(2)*h + E*h)/(2*h))*f(h + x)/(-h + E*h)
344
+
345
+ Partial derivatives are also supported:
346
+
347
+ >>> y = Symbol('y')
348
+ >>> d2fdxdy=f(x,y).diff(x,y)
349
+ >>> _as_finite_diff(d2fdxdy, wrt=x)
350
+ -Derivative(f(x - 1/2, y), y) + Derivative(f(x + 1/2, y), y)
351
+
352
+ See also
353
+ ========
354
+
355
+ sympy.calculus.finite_diff.apply_finite_diff
356
+ sympy.calculus.finite_diff.finite_diff_weights
357
+
358
+ """
359
+ if derivative.is_Derivative:
360
+ pass
361
+ elif derivative.is_Atom:
362
+ return derivative
363
+ else:
364
+ return derivative.fromiter(
365
+ [_as_finite_diff(ar, points, x0, wrt) for ar
366
+ in derivative.args], **derivative.assumptions0)
367
+
368
+ if wrt is None:
369
+ old = None
370
+ for v in derivative.variables:
371
+ if old is v:
372
+ continue
373
+ derivative = _as_finite_diff(derivative, points, x0, v)
374
+ old = v
375
+ return derivative
376
+
377
+ order = derivative.variables.count(wrt)
378
+
379
+ if x0 is None:
380
+ x0 = wrt
381
+
382
+ if not iterable(points):
383
+ if getattr(points, 'is_Function', False) and wrt in points.args:
384
+ points = points.subs(wrt, x0)
385
+ # points is simply the step-size, let's make it a
386
+ # equidistant sequence centered around x0
387
+ if order % 2 == 0:
388
+ # even order => odd number of points, grid point included
389
+ points = [x0 + points*i for i
390
+ in range(-order//2, order//2 + 1)]
391
+ else:
392
+ # odd order => even number of points, half-way wrt grid point
393
+ points = [x0 + points*S(i)/2 for i
394
+ in range(-order, order + 1, 2)]
395
+ others = [wrt, 0]
396
+ for v in set(derivative.variables):
397
+ if v == wrt:
398
+ continue
399
+ others += [v, derivative.variables.count(v)]
400
+ if len(points) < order+1:
401
+ raise ValueError("Too few points for order %d" % order)
402
+ return apply_finite_diff(order, points, [
403
+ Derivative(derivative.expr.subs({wrt: x}), *others) for
404
+ x in points], x0)
405
+
406
+
407
+ def differentiate_finite(expr, *symbols,
408
+ points=1, x0=None, wrt=None, evaluate=False):
409
+ r""" Differentiate expr and replace Derivatives with finite differences.
410
+
411
+ Parameters
412
+ ==========
413
+
414
+ expr : expression
415
+ \*symbols : differentiate with respect to symbols
416
+ points: sequence, coefficient or undefined function, optional
417
+ see ``Derivative.as_finite_difference``
418
+ x0: number or Symbol, optional
419
+ see ``Derivative.as_finite_difference``
420
+ wrt: Symbol, optional
421
+ see ``Derivative.as_finite_difference``
422
+
423
+ Examples
424
+ ========
425
+
426
+ >>> from sympy import sin, Function, differentiate_finite
427
+ >>> from sympy.abc import x, y, h
428
+ >>> f, g = Function('f'), Function('g')
429
+ >>> differentiate_finite(f(x)*g(x), x, points=[x-h, x+h])
430
+ -f(-h + x)*g(-h + x)/(2*h) + f(h + x)*g(h + x)/(2*h)
431
+
432
+ ``differentiate_finite`` works on any expression, including the expressions
433
+ with embedded derivatives:
434
+
435
+ >>> differentiate_finite(f(x) + sin(x), x, 2)
436
+ -2*f(x) + f(x - 1) + f(x + 1) - 2*sin(x) + sin(x - 1) + sin(x + 1)
437
+ >>> differentiate_finite(f(x, y), x, y)
438
+ f(x - 1/2, y - 1/2) - f(x - 1/2, y + 1/2) - f(x + 1/2, y - 1/2) + f(x + 1/2, y + 1/2)
439
+ >>> differentiate_finite(f(x)*g(x).diff(x), x)
440
+ (-g(x) + g(x + 1))*f(x + 1/2) - (g(x) - g(x - 1))*f(x - 1/2)
441
+
442
+ To make finite difference with non-constant discretization step use
443
+ undefined functions:
444
+
445
+ >>> dx = Function('dx')
446
+ >>> differentiate_finite(f(x)*g(x).diff(x), points=dx(x))
447
+ -(-g(x - dx(x)/2 - dx(x - dx(x)/2)/2)/dx(x - dx(x)/2) +
448
+ g(x - dx(x)/2 + dx(x - dx(x)/2)/2)/dx(x - dx(x)/2))*f(x - dx(x)/2)/dx(x) +
449
+ (-g(x + dx(x)/2 - dx(x + dx(x)/2)/2)/dx(x + dx(x)/2) +
450
+ g(x + dx(x)/2 + dx(x + dx(x)/2)/2)/dx(x + dx(x)/2))*f(x + dx(x)/2)/dx(x)
451
+
452
+ """
453
+ if any(term.is_Derivative for term in list(preorder_traversal(expr))):
454
+ evaluate = False
455
+
456
+ Dexpr = expr.diff(*symbols, evaluate=evaluate)
457
+ if evaluate:
458
+ sympy_deprecation_warning("""
459
+ The evaluate flag to differentiate_finite() is deprecated.
460
+
461
+ evaluate=True expands the intermediate derivatives before computing
462
+ differences, but this usually not what you want, as it does not
463
+ satisfy the product rule.
464
+ """,
465
+ deprecated_since_version="1.5",
466
+ active_deprecations_target="deprecated-differentiate_finite-evaluate",
467
+ )
468
+ return Dexpr.replace(
469
+ lambda arg: arg.is_Derivative,
470
+ lambda arg: arg.as_finite_difference(points=points, x0=x0, wrt=wrt))
471
+ else:
472
+ DFexpr = Dexpr.as_finite_difference(points=points, x0=x0, wrt=wrt)
473
+ return DFexpr.replace(
474
+ lambda arg: isinstance(arg, Subs),
475
+ lambda arg: arg.expr.as_finite_difference(
476
+ points=points, x0=arg.point[0], wrt=arg.variables[0]))
evalkit_cambrian/lib/python3.10/site-packages/sympy/polys/matrices/__pycache__/domainmatrix.cpython-310.pyc ADDED
@@ -0,0 +1,3 @@
 
 
 
 
1
+ version https://git-lfs.github.com/spec/v1
2
+ oid sha256:e0d03bbd76ce913835da6670e2b35a4a9f7ecdc79cd72905b447b429feb2c9da
3
+ size 110702
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (1.66 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/aesaracode.cpython-310.pyc ADDED
Binary file (19 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/cxx.cpython-310.pyc ADDED
Binary file (5.93 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/dot.cpython-310.pyc ADDED
Binary file (8.83 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/fortran.cpython-310.pyc ADDED
Binary file (27.3 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/octave.cpython-310.pyc ADDED
Binary file (26.5 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/__pycache__/python.cpython-310.pyc ADDED
Binary file (2.63 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/pretty.cpython-310.pyc ADDED
Binary file (85.4 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/pretty_symbology.cpython-310.pyc ADDED
Binary file (20.5 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/__pycache__/stringpict.cpython-310.pyc ADDED
Binary file (15.6 kB). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/pretty.py ADDED
The diff for this file is too large to render. See raw diff
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/stringpict.py ADDED
@@ -0,0 +1,537 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Prettyprinter by Jurjen Bos.
2
+ (I hate spammers: mail me at pietjepuk314 at the reverse of ku.oc.oohay).
3
+ All objects have a method that create a "stringPict",
4
+ that can be used in the str method for pretty printing.
5
+
6
+ Updates by Jason Gedge (email <my last name> at cs mun ca)
7
+ - terminal_string() method
8
+ - minor fixes and changes (mostly to prettyForm)
9
+
10
+ TODO:
11
+ - Allow left/center/right alignment options for above/below and
12
+ top/center/bottom alignment options for left/right
13
+ """
14
+
15
+ import shutil
16
+
17
+ from .pretty_symbology import hobj, vobj, xsym, xobj, pretty_use_unicode, line_width, center
18
+ from sympy.utilities.exceptions import sympy_deprecation_warning
19
+
20
+ _GLOBAL_WRAP_LINE = None
21
+
22
+ class stringPict:
23
+ """An ASCII picture.
24
+ The pictures are represented as a list of equal length strings.
25
+ """
26
+ #special value for stringPict.below
27
+ LINE = 'line'
28
+
29
+ def __init__(self, s, baseline=0):
30
+ """Initialize from string.
31
+ Multiline strings are centered.
32
+ """
33
+ self.s = s
34
+ #picture is a string that just can be printed
35
+ self.picture = stringPict.equalLengths(s.splitlines())
36
+ #baseline is the line number of the "base line"
37
+ self.baseline = baseline
38
+ self.binding = None
39
+
40
+ @staticmethod
41
+ def equalLengths(lines):
42
+ # empty lines
43
+ if not lines:
44
+ return ['']
45
+
46
+ width = max(line_width(line) for line in lines)
47
+ return [center(line, width) for line in lines]
48
+
49
+ def height(self):
50
+ """The height of the picture in characters."""
51
+ return len(self.picture)
52
+
53
+ def width(self):
54
+ """The width of the picture in characters."""
55
+ return line_width(self.picture[0])
56
+
57
+ @staticmethod
58
+ def next(*args):
59
+ """Put a string of stringPicts next to each other.
60
+ Returns string, baseline arguments for stringPict.
61
+ """
62
+ #convert everything to stringPicts
63
+ objects = []
64
+ for arg in args:
65
+ if isinstance(arg, str):
66
+ arg = stringPict(arg)
67
+ objects.append(arg)
68
+
69
+ #make a list of pictures, with equal height and baseline
70
+ newBaseline = max(obj.baseline for obj in objects)
71
+ newHeightBelowBaseline = max(
72
+ obj.height() - obj.baseline
73
+ for obj in objects)
74
+ newHeight = newBaseline + newHeightBelowBaseline
75
+
76
+ pictures = []
77
+ for obj in objects:
78
+ oneEmptyLine = [' '*obj.width()]
79
+ basePadding = newBaseline - obj.baseline
80
+ totalPadding = newHeight - obj.height()
81
+ pictures.append(
82
+ oneEmptyLine * basePadding +
83
+ obj.picture +
84
+ oneEmptyLine * (totalPadding - basePadding))
85
+
86
+ result = [''.join(lines) for lines in zip(*pictures)]
87
+ return '\n'.join(result), newBaseline
88
+
89
+ def right(self, *args):
90
+ r"""Put pictures next to this one.
91
+ Returns string, baseline arguments for stringPict.
92
+ (Multiline) strings are allowed, and are given a baseline of 0.
93
+
94
+ Examples
95
+ ========
96
+
97
+ >>> from sympy.printing.pretty.stringpict import stringPict
98
+ >>> print(stringPict("10").right(" + ",stringPict("1\r-\r2",1))[0])
99
+ 1
100
+ 10 + -
101
+ 2
102
+
103
+ """
104
+ return stringPict.next(self, *args)
105
+
106
+ def left(self, *args):
107
+ """Put pictures (left to right) at left.
108
+ Returns string, baseline arguments for stringPict.
109
+ """
110
+ return stringPict.next(*(args + (self,)))
111
+
112
+ @staticmethod
113
+ def stack(*args):
114
+ """Put pictures on top of each other,
115
+ from top to bottom.
116
+ Returns string, baseline arguments for stringPict.
117
+ The baseline is the baseline of the second picture.
118
+ Everything is centered.
119
+ Baseline is the baseline of the second picture.
120
+ Strings are allowed.
121
+ The special value stringPict.LINE is a row of '-' extended to the width.
122
+ """
123
+ #convert everything to stringPicts; keep LINE
124
+ objects = []
125
+ for arg in args:
126
+ if arg is not stringPict.LINE and isinstance(arg, str):
127
+ arg = stringPict(arg)
128
+ objects.append(arg)
129
+
130
+ #compute new width
131
+ newWidth = max(
132
+ obj.width()
133
+ for obj in objects
134
+ if obj is not stringPict.LINE)
135
+
136
+ lineObj = stringPict(hobj('-', newWidth))
137
+
138
+ #replace LINE with proper lines
139
+ for i, obj in enumerate(objects):
140
+ if obj is stringPict.LINE:
141
+ objects[i] = lineObj
142
+
143
+ #stack the pictures, and center the result
144
+ newPicture = [center(line, newWidth) for obj in objects for line in obj.picture]
145
+ newBaseline = objects[0].height() + objects[1].baseline
146
+ return '\n'.join(newPicture), newBaseline
147
+
148
+ def below(self, *args):
149
+ """Put pictures under this picture.
150
+ Returns string, baseline arguments for stringPict.
151
+ Baseline is baseline of top picture
152
+
153
+ Examples
154
+ ========
155
+
156
+ >>> from sympy.printing.pretty.stringpict import stringPict
157
+ >>> print(stringPict("x+3").below(
158
+ ... stringPict.LINE, '3')[0]) #doctest: +NORMALIZE_WHITESPACE
159
+ x+3
160
+ ---
161
+ 3
162
+
163
+ """
164
+ s, baseline = stringPict.stack(self, *args)
165
+ return s, self.baseline
166
+
167
+ def above(self, *args):
168
+ """Put pictures above this picture.
169
+ Returns string, baseline arguments for stringPict.
170
+ Baseline is baseline of bottom picture.
171
+ """
172
+ string, baseline = stringPict.stack(*(args + (self,)))
173
+ baseline = len(string.splitlines()) - self.height() + self.baseline
174
+ return string, baseline
175
+
176
+ def parens(self, left='(', right=')', ifascii_nougly=False):
177
+ """Put parentheses around self.
178
+ Returns string, baseline arguments for stringPict.
179
+
180
+ left or right can be None or empty string which means 'no paren from
181
+ that side'
182
+ """
183
+ h = self.height()
184
+ b = self.baseline
185
+
186
+ # XXX this is a hack -- ascii parens are ugly!
187
+ if ifascii_nougly and not pretty_use_unicode():
188
+ h = 1
189
+ b = 0
190
+
191
+ res = self
192
+
193
+ if left:
194
+ lparen = stringPict(vobj(left, h), baseline=b)
195
+ res = stringPict(*lparen.right(self))
196
+ if right:
197
+ rparen = stringPict(vobj(right, h), baseline=b)
198
+ res = stringPict(*res.right(rparen))
199
+
200
+ return ('\n'.join(res.picture), res.baseline)
201
+
202
+ def leftslash(self):
203
+ """Precede object by a slash of the proper size.
204
+ """
205
+ # XXX not used anywhere ?
206
+ height = max(
207
+ self.baseline,
208
+ self.height() - 1 - self.baseline)*2 + 1
209
+ slash = '\n'.join(
210
+ ' '*(height - i - 1) + xobj('/', 1) + ' '*i
211
+ for i in range(height)
212
+ )
213
+ return self.left(stringPict(slash, height//2))
214
+
215
+ def root(self, n=None):
216
+ """Produce a nice root symbol.
217
+ Produces ugly results for big n inserts.
218
+ """
219
+ # XXX not used anywhere
220
+ # XXX duplicate of root drawing in pretty.py
221
+ #put line over expression
222
+ result = self.above('_'*self.width())
223
+ #construct right half of root symbol
224
+ height = self.height()
225
+ slash = '\n'.join(
226
+ ' ' * (height - i - 1) + '/' + ' ' * i
227
+ for i in range(height)
228
+ )
229
+ slash = stringPict(slash, height - 1)
230
+ #left half of root symbol
231
+ if height > 2:
232
+ downline = stringPict('\\ \n \\', 1)
233
+ else:
234
+ downline = stringPict('\\')
235
+ #put n on top, as low as possible
236
+ if n is not None and n.width() > downline.width():
237
+ downline = downline.left(' '*(n.width() - downline.width()))
238
+ downline = downline.above(n)
239
+ #build root symbol
240
+ root = downline.right(slash)
241
+ #glue it on at the proper height
242
+ #normally, the root symbel is as high as self
243
+ #which is one less than result
244
+ #this moves the root symbol one down
245
+ #if the root became higher, the baseline has to grow too
246
+ root.baseline = result.baseline - result.height() + root.height()
247
+ return result.left(root)
248
+
249
+ def render(self, * args, **kwargs):
250
+ """Return the string form of self.
251
+
252
+ Unless the argument line_break is set to False, it will
253
+ break the expression in a form that can be printed
254
+ on the terminal without being broken up.
255
+ """
256
+ if _GLOBAL_WRAP_LINE is not None:
257
+ kwargs["wrap_line"] = _GLOBAL_WRAP_LINE
258
+
259
+ if kwargs["wrap_line"] is False:
260
+ return "\n".join(self.picture)
261
+
262
+ if kwargs["num_columns"] is not None:
263
+ # Read the argument num_columns if it is not None
264
+ ncols = kwargs["num_columns"]
265
+ else:
266
+ # Attempt to get a terminal width
267
+ ncols = self.terminal_width()
268
+
269
+ if ncols <= 0:
270
+ ncols = 80
271
+
272
+ # If smaller than the terminal width, no need to correct
273
+ if self.width() <= ncols:
274
+ return type(self.picture[0])(self)
275
+
276
+ """
277
+ Break long-lines in a visually pleasing format.
278
+ without overflow indicators | with overflow indicators
279
+ | 2 2 3 | | 2 2 3 ↪|
280
+ |6*x *y + 4*x*y + | |6*x *y + 4*x*y + ↪|
281
+ | | | |
282
+ | 3 4 4 | |↪ 3 4 4 |
283
+ |4*y*x + x + y | |↪ 4*y*x + x + y |
284
+ |a*c*e + a*c*f + a*d | |a*c*e + a*c*f + a*d ↪|
285
+ |*e + a*d*f + b*c*e | | |
286
+ |+ b*c*f + b*d*e + b | |↪ *e + a*d*f + b*c* ↪|
287
+ |*d*f | | |
288
+ | | |↪ e + b*c*f + b*d*e ↪|
289
+ | | | |
290
+ | | |↪ + b*d*f |
291
+ """
292
+
293
+ overflow_first = ""
294
+ if kwargs["use_unicode"] or pretty_use_unicode():
295
+ overflow_start = "\N{RIGHTWARDS ARROW WITH HOOK} "
296
+ overflow_end = " \N{RIGHTWARDS ARROW WITH HOOK}"
297
+ else:
298
+ overflow_start = "> "
299
+ overflow_end = " >"
300
+
301
+ def chunks(line):
302
+ """Yields consecutive chunks of line_width ncols"""
303
+ prefix = overflow_first
304
+ width, start = line_width(prefix + overflow_end), 0
305
+ for i, x in enumerate(line):
306
+ wx = line_width(x)
307
+ # Only flush the screen when the current character overflows.
308
+ # This way, combining marks can be appended even when width == ncols.
309
+ if width + wx > ncols:
310
+ yield prefix + line[start:i] + overflow_end
311
+ prefix = overflow_start
312
+ width, start = line_width(prefix + overflow_end), i
313
+ width += wx
314
+ yield prefix + line[start:]
315
+
316
+ # Concurrently assemble chunks of all lines into individual screens
317
+ pictures = zip(*map(chunks, self.picture))
318
+
319
+ # Join lines of each screen into sub-pictures
320
+ pictures = ["\n".join(picture) for picture in pictures]
321
+
322
+ # Add spacers between sub-pictures
323
+ return "\n\n".join(pictures)
324
+
325
+ def terminal_width(self):
326
+ """Return the terminal width if possible, otherwise return 0.
327
+ """
328
+ size = shutil.get_terminal_size(fallback=(0, 0))
329
+ return size.columns
330
+
331
+ def __eq__(self, o):
332
+ if isinstance(o, str):
333
+ return '\n'.join(self.picture) == o
334
+ elif isinstance(o, stringPict):
335
+ return o.picture == self.picture
336
+ return False
337
+
338
+ def __hash__(self):
339
+ return super().__hash__()
340
+
341
+ def __str__(self):
342
+ return '\n'.join(self.picture)
343
+
344
+ def __repr__(self):
345
+ return "stringPict(%r,%d)" % ('\n'.join(self.picture), self.baseline)
346
+
347
+ def __getitem__(self, index):
348
+ return self.picture[index]
349
+
350
+ def __len__(self):
351
+ return len(self.s)
352
+
353
+
354
+ class prettyForm(stringPict):
355
+ """
356
+ Extension of the stringPict class that knows about basic math applications,
357
+ optimizing double minus signs.
358
+
359
+ "Binding" is interpreted as follows::
360
+
361
+ ATOM this is an atom: never needs to be parenthesized
362
+ FUNC this is a function application: parenthesize if added (?)
363
+ DIV this is a division: make wider division if divided
364
+ POW this is a power: only parenthesize if exponent
365
+ MUL this is a multiplication: parenthesize if powered
366
+ ADD this is an addition: parenthesize if multiplied or powered
367
+ NEG this is a negative number: optimize if added, parenthesize if
368
+ multiplied or powered
369
+ OPEN this is an open object: parenthesize if added, multiplied, or
370
+ powered (example: Piecewise)
371
+ """
372
+ ATOM, FUNC, DIV, POW, MUL, ADD, NEG, OPEN = range(8)
373
+
374
+ def __init__(self, s, baseline=0, binding=0, unicode=None):
375
+ """Initialize from stringPict and binding power."""
376
+ stringPict.__init__(self, s, baseline)
377
+ self.binding = binding
378
+ if unicode is not None:
379
+ sympy_deprecation_warning(
380
+ """
381
+ The unicode argument to prettyForm is deprecated. Only the s
382
+ argument (the first positional argument) should be passed.
383
+ """,
384
+ deprecated_since_version="1.7",
385
+ active_deprecations_target="deprecated-pretty-printing-functions")
386
+ self._unicode = unicode or s
387
+
388
+ @property
389
+ def unicode(self):
390
+ sympy_deprecation_warning(
391
+ """
392
+ The prettyForm.unicode attribute is deprecated. Use the
393
+ prettyForm.s attribute instead.
394
+ """,
395
+ deprecated_since_version="1.7",
396
+ active_deprecations_target="deprecated-pretty-printing-functions")
397
+ return self._unicode
398
+
399
+ # Note: code to handle subtraction is in _print_Add
400
+
401
+ def __add__(self, *others):
402
+ """Make a pretty addition.
403
+ Addition of negative numbers is simplified.
404
+ """
405
+ arg = self
406
+ if arg.binding > prettyForm.NEG:
407
+ arg = stringPict(*arg.parens())
408
+ result = [arg]
409
+ for arg in others:
410
+ #add parentheses for weak binders
411
+ if arg.binding > prettyForm.NEG:
412
+ arg = stringPict(*arg.parens())
413
+ #use existing minus sign if available
414
+ if arg.binding != prettyForm.NEG:
415
+ result.append(' + ')
416
+ result.append(arg)
417
+ return prettyForm(binding=prettyForm.ADD, *stringPict.next(*result))
418
+
419
+ def __truediv__(self, den, slashed=False):
420
+ """Make a pretty division; stacked or slashed.
421
+ """
422
+ if slashed:
423
+ raise NotImplementedError("Can't do slashed fraction yet")
424
+ num = self
425
+ if num.binding == prettyForm.DIV:
426
+ num = stringPict(*num.parens())
427
+ if den.binding == prettyForm.DIV:
428
+ den = stringPict(*den.parens())
429
+
430
+ if num.binding==prettyForm.NEG:
431
+ num = num.right(" ")[0]
432
+
433
+ return prettyForm(binding=prettyForm.DIV, *stringPict.stack(
434
+ num,
435
+ stringPict.LINE,
436
+ den))
437
+
438
+ def __mul__(self, *others):
439
+ """Make a pretty multiplication.
440
+ Parentheses are needed around +, - and neg.
441
+ """
442
+ quantity = {
443
+ 'degree': "\N{DEGREE SIGN}"
444
+ }
445
+
446
+ if len(others) == 0:
447
+ return self # We aren't actually multiplying... So nothing to do here.
448
+
449
+ # add parens on args that need them
450
+ arg = self
451
+ if arg.binding > prettyForm.MUL and arg.binding != prettyForm.NEG:
452
+ arg = stringPict(*arg.parens())
453
+ result = [arg]
454
+ for arg in others:
455
+ if arg.picture[0] not in quantity.values():
456
+ result.append(xsym('*'))
457
+ #add parentheses for weak binders
458
+ if arg.binding > prettyForm.MUL and arg.binding != prettyForm.NEG:
459
+ arg = stringPict(*arg.parens())
460
+ result.append(arg)
461
+
462
+ len_res = len(result)
463
+ for i in range(len_res):
464
+ if i < len_res - 1 and result[i] == '-1' and result[i + 1] == xsym('*'):
465
+ # substitute -1 by -, like in -1*x -> -x
466
+ result.pop(i)
467
+ result.pop(i)
468
+ result.insert(i, '-')
469
+ if result[0][0] == '-':
470
+ # if there is a - sign in front of all
471
+ # This test was failing to catch a prettyForm.__mul__(prettyForm("-1", 0, 6)) being negative
472
+ bin = prettyForm.NEG
473
+ if result[0] == '-':
474
+ right = result[1]
475
+ if right.picture[right.baseline][0] == '-':
476
+ result[0] = '- '
477
+ else:
478
+ bin = prettyForm.MUL
479
+ return prettyForm(binding=bin, *stringPict.next(*result))
480
+
481
+ def __repr__(self):
482
+ return "prettyForm(%r,%d,%d)" % (
483
+ '\n'.join(self.picture),
484
+ self.baseline,
485
+ self.binding)
486
+
487
+ def __pow__(self, b):
488
+ """Make a pretty power.
489
+ """
490
+ a = self
491
+ use_inline_func_form = False
492
+ if b.binding == prettyForm.POW:
493
+ b = stringPict(*b.parens())
494
+ if a.binding > prettyForm.FUNC:
495
+ a = stringPict(*a.parens())
496
+ elif a.binding == prettyForm.FUNC:
497
+ # heuristic for when to use inline power
498
+ if b.height() > 1:
499
+ a = stringPict(*a.parens())
500
+ else:
501
+ use_inline_func_form = True
502
+
503
+ if use_inline_func_form:
504
+ # 2
505
+ # sin + + (x)
506
+ b.baseline = a.prettyFunc.baseline + b.height()
507
+ func = stringPict(*a.prettyFunc.right(b))
508
+ return prettyForm(*func.right(a.prettyArgs))
509
+ else:
510
+ # 2 <-- top
511
+ # (x+y) <-- bot
512
+ top = stringPict(*b.left(' '*a.width()))
513
+ bot = stringPict(*a.right(' '*b.width()))
514
+
515
+ return prettyForm(binding=prettyForm.POW, *bot.above(top))
516
+
517
+ simpleFunctions = ["sin", "cos", "tan"]
518
+
519
+ @staticmethod
520
+ def apply(function, *args):
521
+ """Functions of one or more variables.
522
+ """
523
+ if function in prettyForm.simpleFunctions:
524
+ #simple function: use only space if possible
525
+ assert len(
526
+ args) == 1, "Simple function %s must have 1 argument" % function
527
+ arg = args[0].__pretty__()
528
+ if arg.binding <= prettyForm.DIV:
529
+ #optimization: no parentheses necessary
530
+ return prettyForm(binding=prettyForm.FUNC, *arg.left(function + ' '))
531
+ argumentList = []
532
+ for arg in args:
533
+ argumentList.append(',')
534
+ argumentList.append(arg.__pretty__())
535
+ argumentList = stringPict(*stringPict.next(*argumentList[1:]))
536
+ argumentList = stringPict(*argumentList.parens())
537
+ return prettyForm(binding=prettyForm.ATOM, *argumentList.left(function))
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/tests/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (189 Bytes). View file
 
evalkit_cambrian/lib/python3.10/site-packages/sympy/printing/pretty/tests/test_pretty.py ADDED
The diff for this file is too large to render. See raw diff
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/__init__.py ADDED
@@ -0,0 +1,180 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Contains the core of NumPy: ndarray, ufuncs, dtypes, etc.
3
+
4
+ Please note that this module is private. All functions and objects
5
+ are available in the main ``numpy`` namespace - use that instead.
6
+
7
+ """
8
+
9
+ import os
10
+ import warnings
11
+
12
+ from numpy.version import version as __version__
13
+
14
+
15
+ # disables OpenBLAS affinity setting of the main thread that limits
16
+ # python threads or processes to one core
17
+ env_added = []
18
+ for envkey in ['OPENBLAS_MAIN_FREE', 'GOTOBLAS_MAIN_FREE']:
19
+ if envkey not in os.environ:
20
+ os.environ[envkey] = '1'
21
+ env_added.append(envkey)
22
+
23
+ try:
24
+ from . import multiarray
25
+ except ImportError as exc:
26
+ import sys
27
+ msg = """
28
+
29
+ IMPORTANT: PLEASE READ THIS FOR ADVICE ON HOW TO SOLVE THIS ISSUE!
30
+
31
+ Importing the numpy C-extensions failed. This error can happen for
32
+ many reasons, often due to issues with your setup or how NumPy was
33
+ installed.
34
+
35
+ We have compiled some common reasons and troubleshooting tips at:
36
+
37
+ https://numpy.org/devdocs/user/troubleshooting-importerror.html
38
+
39
+ Please note and check the following:
40
+
41
+ * The Python version is: Python%d.%d from "%s"
42
+ * The NumPy version is: "%s"
43
+
44
+ and make sure that they are the versions you expect.
45
+ Please carefully study the documentation linked above for further help.
46
+
47
+ Original error was: %s
48
+ """ % (sys.version_info[0], sys.version_info[1], sys.executable,
49
+ __version__, exc)
50
+ raise ImportError(msg)
51
+ finally:
52
+ for envkey in env_added:
53
+ del os.environ[envkey]
54
+ del envkey
55
+ del env_added
56
+ del os
57
+
58
+ from . import umath
59
+
60
+ # Check that multiarray,umath are pure python modules wrapping
61
+ # _multiarray_umath and not either of the old c-extension modules
62
+ if not (hasattr(multiarray, '_multiarray_umath') and
63
+ hasattr(umath, '_multiarray_umath')):
64
+ import sys
65
+ path = sys.modules['numpy'].__path__
66
+ msg = ("Something is wrong with the numpy installation. "
67
+ "While importing we detected an older version of "
68
+ "numpy in {}. One method of fixing this is to repeatedly uninstall "
69
+ "numpy until none is found, then reinstall this version.")
70
+ raise ImportError(msg.format(path))
71
+
72
+ from . import numerictypes as nt
73
+ multiarray.set_typeDict(nt.sctypeDict)
74
+ from . import numeric
75
+ from .numeric import *
76
+ from . import fromnumeric
77
+ from .fromnumeric import *
78
+ from . import defchararray as char
79
+ from . import records
80
+ from . import records as rec
81
+ from .records import record, recarray, format_parser
82
+ # Note: module name memmap is overwritten by a class with same name
83
+ from .memmap import *
84
+ from .defchararray import chararray
85
+ from . import function_base
86
+ from .function_base import *
87
+ from . import _machar
88
+ from . import getlimits
89
+ from .getlimits import *
90
+ from . import shape_base
91
+ from .shape_base import *
92
+ from . import einsumfunc
93
+ from .einsumfunc import *
94
+ del nt
95
+
96
+ from .numeric import absolute as abs
97
+
98
+ # do this after everything else, to minimize the chance of this misleadingly
99
+ # appearing in an import-time traceback
100
+ from . import _add_newdocs
101
+ from . import _add_newdocs_scalars
102
+ # add these for module-freeze analysis (like PyInstaller)
103
+ from . import _dtype_ctypes
104
+ from . import _internal
105
+ from . import _dtype
106
+ from . import _methods
107
+
108
+ __all__ = ['char', 'rec', 'memmap']
109
+ __all__ += numeric.__all__
110
+ __all__ += ['record', 'recarray', 'format_parser']
111
+ __all__ += ['chararray']
112
+ __all__ += function_base.__all__
113
+ __all__ += getlimits.__all__
114
+ __all__ += shape_base.__all__
115
+ __all__ += einsumfunc.__all__
116
+
117
+ # We used to use `np.core._ufunc_reconstruct` to unpickle. This is unnecessary,
118
+ # but old pickles saved before 1.20 will be using it, and there is no reason
119
+ # to break loading them.
120
+ def _ufunc_reconstruct(module, name):
121
+ # The `fromlist` kwarg is required to ensure that `mod` points to the
122
+ # inner-most module rather than the parent package when module name is
123
+ # nested. This makes it possible to pickle non-toplevel ufuncs such as
124
+ # scipy.special.expit for instance.
125
+ mod = __import__(module, fromlist=[name])
126
+ return getattr(mod, name)
127
+
128
+
129
+ def _ufunc_reduce(func):
130
+ # Report the `__name__`. pickle will try to find the module. Note that
131
+ # pickle supports for this `__name__` to be a `__qualname__`. It may
132
+ # make sense to add a `__qualname__` to ufuncs, to allow this more
133
+ # explicitly (Numba has ufuncs as attributes).
134
+ # See also: https://github.com/dask/distributed/issues/3450
135
+ return func.__name__
136
+
137
+
138
+ def _DType_reconstruct(scalar_type):
139
+ # This is a work-around to pickle type(np.dtype(np.float64)), etc.
140
+ # and it should eventually be replaced with a better solution, e.g. when
141
+ # DTypes become HeapTypes.
142
+ return type(dtype(scalar_type))
143
+
144
+
145
+ def _DType_reduce(DType):
146
+ # As types/classes, most DTypes can simply be pickled by their name:
147
+ if not DType._legacy or DType.__module__ == "numpy.dtypes":
148
+ return DType.__name__
149
+
150
+ # However, user defined legacy dtypes (like rational) do not end up in
151
+ # `numpy.dtypes` as module and do not have a public class at all.
152
+ # For these, we pickle them by reconstructing them from the scalar type:
153
+ scalar_type = DType.type
154
+ return _DType_reconstruct, (scalar_type,)
155
+
156
+
157
+ def __getattr__(name):
158
+ # Deprecated 2022-11-22, NumPy 1.25.
159
+ if name == "MachAr":
160
+ warnings.warn(
161
+ "The `np.core.MachAr` is considered private API (NumPy 1.24)",
162
+ DeprecationWarning, stacklevel=2,
163
+ )
164
+ return _machar.MachAr
165
+ raise AttributeError(f"Module {__name__!r} has no attribute {name!r}")
166
+
167
+
168
+ import copyreg
169
+
170
+ copyreg.pickle(ufunc, _ufunc_reduce)
171
+ copyreg.pickle(type(dtype), _DType_reduce, _DType_reconstruct)
172
+
173
+ # Unclutter namespace (must keep _*_reconstruct for unpickling)
174
+ del copyreg
175
+ del _ufunc_reduce
176
+ del _DType_reduce
177
+
178
+ from numpy._pytesttester import PytestTester
179
+ test = PytestTester(__name__)
180
+ del PytestTester
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_add_newdocs_scalars.py ADDED
@@ -0,0 +1,372 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ This file is separate from ``_add_newdocs.py`` so that it can be mocked out by
3
+ our sphinx ``conf.py`` during doc builds, where we want to avoid showing
4
+ platform-dependent information.
5
+ """
6
+ import sys
7
+ import os
8
+ from numpy.core import dtype
9
+ from numpy.core import numerictypes as _numerictypes
10
+ from numpy.core.function_base import add_newdoc
11
+
12
+ ##############################################################################
13
+ #
14
+ # Documentation for concrete scalar classes
15
+ #
16
+ ##############################################################################
17
+
18
+ def numeric_type_aliases(aliases):
19
+ def type_aliases_gen():
20
+ for alias, doc in aliases:
21
+ try:
22
+ alias_type = getattr(_numerictypes, alias)
23
+ except AttributeError:
24
+ # The set of aliases that actually exist varies between platforms
25
+ pass
26
+ else:
27
+ yield (alias_type, alias, doc)
28
+ return list(type_aliases_gen())
29
+
30
+
31
+ possible_aliases = numeric_type_aliases([
32
+ ('int8', '8-bit signed integer (``-128`` to ``127``)'),
33
+ ('int16', '16-bit signed integer (``-32_768`` to ``32_767``)'),
34
+ ('int32', '32-bit signed integer (``-2_147_483_648`` to ``2_147_483_647``)'),
35
+ ('int64', '64-bit signed integer (``-9_223_372_036_854_775_808`` to ``9_223_372_036_854_775_807``)'),
36
+ ('intp', 'Signed integer large enough to fit pointer, compatible with C ``intptr_t``'),
37
+ ('uint8', '8-bit unsigned integer (``0`` to ``255``)'),
38
+ ('uint16', '16-bit unsigned integer (``0`` to ``65_535``)'),
39
+ ('uint32', '32-bit unsigned integer (``0`` to ``4_294_967_295``)'),
40
+ ('uint64', '64-bit unsigned integer (``0`` to ``18_446_744_073_709_551_615``)'),
41
+ ('uintp', 'Unsigned integer large enough to fit pointer, compatible with C ``uintptr_t``'),
42
+ ('float16', '16-bit-precision floating-point number type: sign bit, 5 bits exponent, 10 bits mantissa'),
43
+ ('float32', '32-bit-precision floating-point number type: sign bit, 8 bits exponent, 23 bits mantissa'),
44
+ ('float64', '64-bit precision floating-point number type: sign bit, 11 bits exponent, 52 bits mantissa'),
45
+ ('float96', '96-bit extended-precision floating-point number type'),
46
+ ('float128', '128-bit extended-precision floating-point number type'),
47
+ ('complex64', 'Complex number type composed of 2 32-bit-precision floating-point numbers'),
48
+ ('complex128', 'Complex number type composed of 2 64-bit-precision floating-point numbers'),
49
+ ('complex192', 'Complex number type composed of 2 96-bit extended-precision floating-point numbers'),
50
+ ('complex256', 'Complex number type composed of 2 128-bit extended-precision floating-point numbers'),
51
+ ])
52
+
53
+
54
+ def _get_platform_and_machine():
55
+ try:
56
+ system, _, _, _, machine = os.uname()
57
+ except AttributeError:
58
+ system = sys.platform
59
+ if system == 'win32':
60
+ machine = os.environ.get('PROCESSOR_ARCHITEW6432', '') \
61
+ or os.environ.get('PROCESSOR_ARCHITECTURE', '')
62
+ else:
63
+ machine = 'unknown'
64
+ return system, machine
65
+
66
+
67
+ _system, _machine = _get_platform_and_machine()
68
+ _doc_alias_string = f":Alias on this platform ({_system} {_machine}):"
69
+
70
+
71
+ def add_newdoc_for_scalar_type(obj, fixed_aliases, doc):
72
+ # note: `:field: value` is rST syntax which renders as field lists.
73
+ o = getattr(_numerictypes, obj)
74
+
75
+ character_code = dtype(o).char
76
+ canonical_name_doc = "" if obj == o.__name__ else \
77
+ f":Canonical name: `numpy.{obj}`\n "
78
+ if fixed_aliases:
79
+ alias_doc = ''.join(f":Alias: `numpy.{alias}`\n "
80
+ for alias in fixed_aliases)
81
+ else:
82
+ alias_doc = ''
83
+ alias_doc += ''.join(f"{_doc_alias_string} `numpy.{alias}`: {doc}.\n "
84
+ for (alias_type, alias, doc) in possible_aliases if alias_type is o)
85
+
86
+ docstring = f"""
87
+ {doc.strip()}
88
+
89
+ :Character code: ``'{character_code}'``
90
+ {canonical_name_doc}{alias_doc}
91
+ """
92
+
93
+ add_newdoc('numpy.core.numerictypes', obj, docstring)
94
+
95
+
96
+ add_newdoc_for_scalar_type('bool_', [],
97
+ """
98
+ Boolean type (True or False), stored as a byte.
99
+
100
+ .. warning::
101
+
102
+ The :class:`bool_` type is not a subclass of the :class:`int_` type
103
+ (the :class:`bool_` is not even a number type). This is different
104
+ than Python's default implementation of :class:`bool` as a
105
+ sub-class of :class:`int`.
106
+ """)
107
+
108
+ add_newdoc_for_scalar_type('byte', [],
109
+ """
110
+ Signed integer type, compatible with C ``char``.
111
+ """)
112
+
113
+ add_newdoc_for_scalar_type('short', [],
114
+ """
115
+ Signed integer type, compatible with C ``short``.
116
+ """)
117
+
118
+ add_newdoc_for_scalar_type('intc', [],
119
+ """
120
+ Signed integer type, compatible with C ``int``.
121
+ """)
122
+
123
+ add_newdoc_for_scalar_type('int_', [],
124
+ """
125
+ Signed integer type, compatible with Python `int` and C ``long``.
126
+ """)
127
+
128
+ add_newdoc_for_scalar_type('longlong', [],
129
+ """
130
+ Signed integer type, compatible with C ``long long``.
131
+ """)
132
+
133
+ add_newdoc_for_scalar_type('ubyte', [],
134
+ """
135
+ Unsigned integer type, compatible with C ``unsigned char``.
136
+ """)
137
+
138
+ add_newdoc_for_scalar_type('ushort', [],
139
+ """
140
+ Unsigned integer type, compatible with C ``unsigned short``.
141
+ """)
142
+
143
+ add_newdoc_for_scalar_type('uintc', [],
144
+ """
145
+ Unsigned integer type, compatible with C ``unsigned int``.
146
+ """)
147
+
148
+ add_newdoc_for_scalar_type('uint', [],
149
+ """
150
+ Unsigned integer type, compatible with C ``unsigned long``.
151
+ """)
152
+
153
+ add_newdoc_for_scalar_type('ulonglong', [],
154
+ """
155
+ Signed integer type, compatible with C ``unsigned long long``.
156
+ """)
157
+
158
+ add_newdoc_for_scalar_type('half', [],
159
+ """
160
+ Half-precision floating-point number type.
161
+ """)
162
+
163
+ add_newdoc_for_scalar_type('single', [],
164
+ """
165
+ Single-precision floating-point number type, compatible with C ``float``.
166
+ """)
167
+
168
+ add_newdoc_for_scalar_type('double', ['float_'],
169
+ """
170
+ Double-precision floating-point number type, compatible with Python `float`
171
+ and C ``double``.
172
+ """)
173
+
174
+ add_newdoc_for_scalar_type('longdouble', ['longfloat'],
175
+ """
176
+ Extended-precision floating-point number type, compatible with C
177
+ ``long double`` but not necessarily with IEEE 754 quadruple-precision.
178
+ """)
179
+
180
+ add_newdoc_for_scalar_type('csingle', ['singlecomplex'],
181
+ """
182
+ Complex number type composed of two single-precision floating-point
183
+ numbers.
184
+ """)
185
+
186
+ add_newdoc_for_scalar_type('cdouble', ['cfloat', 'complex_'],
187
+ """
188
+ Complex number type composed of two double-precision floating-point
189
+ numbers, compatible with Python `complex`.
190
+ """)
191
+
192
+ add_newdoc_for_scalar_type('clongdouble', ['clongfloat', 'longcomplex'],
193
+ """
194
+ Complex number type composed of two extended-precision floating-point
195
+ numbers.
196
+ """)
197
+
198
+ add_newdoc_for_scalar_type('object_', [],
199
+ """
200
+ Any Python object.
201
+ """)
202
+
203
+ add_newdoc_for_scalar_type('str_', ['unicode_'],
204
+ r"""
205
+ A unicode string.
206
+
207
+ This type strips trailing null codepoints.
208
+
209
+ >>> s = np.str_("abc\x00")
210
+ >>> s
211
+ 'abc'
212
+
213
+ Unlike the builtin `str`, this supports the :ref:`python:bufferobjects`, exposing its
214
+ contents as UCS4:
215
+
216
+ >>> m = memoryview(np.str_("abc"))
217
+ >>> m.format
218
+ '3w'
219
+ >>> m.tobytes()
220
+ b'a\x00\x00\x00b\x00\x00\x00c\x00\x00\x00'
221
+ """)
222
+
223
+ add_newdoc_for_scalar_type('bytes_', ['string_'],
224
+ r"""
225
+ A byte string.
226
+
227
+ When used in arrays, this type strips trailing null bytes.
228
+ """)
229
+
230
+ add_newdoc_for_scalar_type('void', [],
231
+ r"""
232
+ np.void(length_or_data, /, dtype=None)
233
+
234
+ Create a new structured or unstructured void scalar.
235
+
236
+ Parameters
237
+ ----------
238
+ length_or_data : int, array-like, bytes-like, object
239
+ One of multiple meanings (see notes). The length or
240
+ bytes data of an unstructured void. Or alternatively,
241
+ the data to be stored in the new scalar when `dtype`
242
+ is provided.
243
+ This can be an array-like, in which case an array may
244
+ be returned.
245
+ dtype : dtype, optional
246
+ If provided the dtype of the new scalar. This dtype must
247
+ be "void" dtype (i.e. a structured or unstructured void,
248
+ see also :ref:`defining-structured-types`).
249
+
250
+ ..versionadded:: 1.24
251
+
252
+ Notes
253
+ -----
254
+ For historical reasons and because void scalars can represent both
255
+ arbitrary byte data and structured dtypes, the void constructor
256
+ has three calling conventions:
257
+
258
+ 1. ``np.void(5)`` creates a ``dtype="V5"`` scalar filled with five
259
+ ``\0`` bytes. The 5 can be a Python or NumPy integer.
260
+ 2. ``np.void(b"bytes-like")`` creates a void scalar from the byte string.
261
+ The dtype itemsize will match the byte string length, here ``"V10"``.
262
+ 3. When a ``dtype=`` is passed the call is roughly the same as an
263
+ array creation. However, a void scalar rather than array is returned.
264
+
265
+ Please see the examples which show all three different conventions.
266
+
267
+ Examples
268
+ --------
269
+ >>> np.void(5)
270
+ void(b'\x00\x00\x00\x00\x00')
271
+ >>> np.void(b'abcd')
272
+ void(b'\x61\x62\x63\x64')
273
+ >>> np.void((5, 3.2, "eggs"), dtype="i,d,S5")
274
+ (5, 3.2, b'eggs') # looks like a tuple, but is `np.void`
275
+ >>> np.void(3, dtype=[('x', np.int8), ('y', np.int8)])
276
+ (3, 3) # looks like a tuple, but is `np.void`
277
+
278
+ """)
279
+
280
+ add_newdoc_for_scalar_type('datetime64', [],
281
+ """
282
+ If created from a 64-bit integer, it represents an offset from
283
+ ``1970-01-01T00:00:00``.
284
+ If created from string, the string can be in ISO 8601 date
285
+ or datetime format.
286
+
287
+ >>> np.datetime64(10, 'Y')
288
+ numpy.datetime64('1980')
289
+ >>> np.datetime64('1980', 'Y')
290
+ numpy.datetime64('1980')
291
+ >>> np.datetime64(10, 'D')
292
+ numpy.datetime64('1970-01-11')
293
+
294
+ See :ref:`arrays.datetime` for more information.
295
+ """)
296
+
297
+ add_newdoc_for_scalar_type('timedelta64', [],
298
+ """
299
+ A timedelta stored as a 64-bit integer.
300
+
301
+ See :ref:`arrays.datetime` for more information.
302
+ """)
303
+
304
+ add_newdoc('numpy.core.numerictypes', "integer", ('is_integer',
305
+ """
306
+ integer.is_integer() -> bool
307
+
308
+ Return ``True`` if the number is finite with integral value.
309
+
310
+ .. versionadded:: 1.22
311
+
312
+ Examples
313
+ --------
314
+ >>> np.int64(-2).is_integer()
315
+ True
316
+ >>> np.uint32(5).is_integer()
317
+ True
318
+ """))
319
+
320
+ # TODO: work out how to put this on the base class, np.floating
321
+ for float_name in ('half', 'single', 'double', 'longdouble'):
322
+ add_newdoc('numpy.core.numerictypes', float_name, ('as_integer_ratio',
323
+ """
324
+ {ftype}.as_integer_ratio() -> (int, int)
325
+
326
+ Return a pair of integers, whose ratio is exactly equal to the original
327
+ floating point number, and with a positive denominator.
328
+ Raise `OverflowError` on infinities and a `ValueError` on NaNs.
329
+
330
+ >>> np.{ftype}(10.0).as_integer_ratio()
331
+ (10, 1)
332
+ >>> np.{ftype}(0.0).as_integer_ratio()
333
+ (0, 1)
334
+ >>> np.{ftype}(-.25).as_integer_ratio()
335
+ (-1, 4)
336
+ """.format(ftype=float_name)))
337
+
338
+ add_newdoc('numpy.core.numerictypes', float_name, ('is_integer',
339
+ f"""
340
+ {float_name}.is_integer() -> bool
341
+
342
+ Return ``True`` if the floating point number is finite with integral
343
+ value, and ``False`` otherwise.
344
+
345
+ .. versionadded:: 1.22
346
+
347
+ Examples
348
+ --------
349
+ >>> np.{float_name}(-2.0).is_integer()
350
+ True
351
+ >>> np.{float_name}(3.2).is_integer()
352
+ False
353
+ """))
354
+
355
+ for int_name in ('int8', 'uint8', 'int16', 'uint16', 'int32', 'uint32',
356
+ 'int64', 'uint64', 'int64', 'uint64', 'int64', 'uint64'):
357
+ # Add negative examples for signed cases by checking typecode
358
+ add_newdoc('numpy.core.numerictypes', int_name, ('bit_count',
359
+ f"""
360
+ {int_name}.bit_count() -> int
361
+
362
+ Computes the number of 1-bits in the absolute value of the input.
363
+ Analogous to the builtin `int.bit_count` or ``popcount`` in C++.
364
+
365
+ Examples
366
+ --------
367
+ >>> np.{int_name}(127).bit_count()
368
+ 7""" +
369
+ (f"""
370
+ >>> np.{int_name}(-127).bit_count()
371
+ 7
372
+ """ if dtype(int_name).char.islower() else "")))
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_dtype.py ADDED
@@ -0,0 +1,369 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ A place for code to be called from the implementation of np.dtype
3
+
4
+ String handling is much easier to do correctly in python.
5
+ """
6
+ import numpy as np
7
+
8
+
9
+ _kind_to_stem = {
10
+ 'u': 'uint',
11
+ 'i': 'int',
12
+ 'c': 'complex',
13
+ 'f': 'float',
14
+ 'b': 'bool',
15
+ 'V': 'void',
16
+ 'O': 'object',
17
+ 'M': 'datetime',
18
+ 'm': 'timedelta',
19
+ 'S': 'bytes',
20
+ 'U': 'str',
21
+ }
22
+
23
+
24
+ def _kind_name(dtype):
25
+ try:
26
+ return _kind_to_stem[dtype.kind]
27
+ except KeyError as e:
28
+ raise RuntimeError(
29
+ "internal dtype error, unknown kind {!r}"
30
+ .format(dtype.kind)
31
+ ) from None
32
+
33
+
34
+ def __str__(dtype):
35
+ if dtype.fields is not None:
36
+ return _struct_str(dtype, include_align=True)
37
+ elif dtype.subdtype:
38
+ return _subarray_str(dtype)
39
+ elif issubclass(dtype.type, np.flexible) or not dtype.isnative:
40
+ return dtype.str
41
+ else:
42
+ return dtype.name
43
+
44
+
45
+ def __repr__(dtype):
46
+ arg_str = _construction_repr(dtype, include_align=False)
47
+ if dtype.isalignedstruct:
48
+ arg_str = arg_str + ", align=True"
49
+ return "dtype({})".format(arg_str)
50
+
51
+
52
+ def _unpack_field(dtype, offset, title=None):
53
+ """
54
+ Helper function to normalize the items in dtype.fields.
55
+
56
+ Call as:
57
+
58
+ dtype, offset, title = _unpack_field(*dtype.fields[name])
59
+ """
60
+ return dtype, offset, title
61
+
62
+
63
+ def _isunsized(dtype):
64
+ # PyDataType_ISUNSIZED
65
+ return dtype.itemsize == 0
66
+
67
+
68
+ def _construction_repr(dtype, include_align=False, short=False):
69
+ """
70
+ Creates a string repr of the dtype, excluding the 'dtype()' part
71
+ surrounding the object. This object may be a string, a list, or
72
+ a dict depending on the nature of the dtype. This
73
+ is the object passed as the first parameter to the dtype
74
+ constructor, and if no additional constructor parameters are
75
+ given, will reproduce the exact memory layout.
76
+
77
+ Parameters
78
+ ----------
79
+ short : bool
80
+ If true, this creates a shorter repr using 'kind' and 'itemsize', instead
81
+ of the longer type name.
82
+
83
+ include_align : bool
84
+ If true, this includes the 'align=True' parameter
85
+ inside the struct dtype construction dict when needed. Use this flag
86
+ if you want a proper repr string without the 'dtype()' part around it.
87
+
88
+ If false, this does not preserve the
89
+ 'align=True' parameter or sticky NPY_ALIGNED_STRUCT flag for
90
+ struct arrays like the regular repr does, because the 'align'
91
+ flag is not part of first dtype constructor parameter. This
92
+ mode is intended for a full 'repr', where the 'align=True' is
93
+ provided as the second parameter.
94
+ """
95
+ if dtype.fields is not None:
96
+ return _struct_str(dtype, include_align=include_align)
97
+ elif dtype.subdtype:
98
+ return _subarray_str(dtype)
99
+ else:
100
+ return _scalar_str(dtype, short=short)
101
+
102
+
103
+ def _scalar_str(dtype, short):
104
+ byteorder = _byte_order_str(dtype)
105
+
106
+ if dtype.type == np.bool_:
107
+ if short:
108
+ return "'?'"
109
+ else:
110
+ return "'bool'"
111
+
112
+ elif dtype.type == np.object_:
113
+ # The object reference may be different sizes on different
114
+ # platforms, so it should never include the itemsize here.
115
+ return "'O'"
116
+
117
+ elif dtype.type == np.bytes_:
118
+ if _isunsized(dtype):
119
+ return "'S'"
120
+ else:
121
+ return "'S%d'" % dtype.itemsize
122
+
123
+ elif dtype.type == np.str_:
124
+ if _isunsized(dtype):
125
+ return "'%sU'" % byteorder
126
+ else:
127
+ return "'%sU%d'" % (byteorder, dtype.itemsize / 4)
128
+
129
+ # unlike the other types, subclasses of void are preserved - but
130
+ # historically the repr does not actually reveal the subclass
131
+ elif issubclass(dtype.type, np.void):
132
+ if _isunsized(dtype):
133
+ return "'V'"
134
+ else:
135
+ return "'V%d'" % dtype.itemsize
136
+
137
+ elif dtype.type == np.datetime64:
138
+ return "'%sM8%s'" % (byteorder, _datetime_metadata_str(dtype))
139
+
140
+ elif dtype.type == np.timedelta64:
141
+ return "'%sm8%s'" % (byteorder, _datetime_metadata_str(dtype))
142
+
143
+ elif np.issubdtype(dtype, np.number):
144
+ # Short repr with endianness, like '<f8'
145
+ if short or dtype.byteorder not in ('=', '|'):
146
+ return "'%s%c%d'" % (byteorder, dtype.kind, dtype.itemsize)
147
+
148
+ # Longer repr, like 'float64'
149
+ else:
150
+ return "'%s%d'" % (_kind_name(dtype), 8*dtype.itemsize)
151
+
152
+ elif dtype.isbuiltin == 2:
153
+ return dtype.type.__name__
154
+
155
+ else:
156
+ raise RuntimeError(
157
+ "Internal error: NumPy dtype unrecognized type number")
158
+
159
+
160
+ def _byte_order_str(dtype):
161
+ """ Normalize byteorder to '<' or '>' """
162
+ # hack to obtain the native and swapped byte order characters
163
+ swapped = np.dtype(int).newbyteorder('S')
164
+ native = swapped.newbyteorder('S')
165
+
166
+ byteorder = dtype.byteorder
167
+ if byteorder == '=':
168
+ return native.byteorder
169
+ if byteorder == 'S':
170
+ # TODO: this path can never be reached
171
+ return swapped.byteorder
172
+ elif byteorder == '|':
173
+ return ''
174
+ else:
175
+ return byteorder
176
+
177
+
178
+ def _datetime_metadata_str(dtype):
179
+ # TODO: this duplicates the C metastr_to_unicode functionality
180
+ unit, count = np.datetime_data(dtype)
181
+ if unit == 'generic':
182
+ return ''
183
+ elif count == 1:
184
+ return '[{}]'.format(unit)
185
+ else:
186
+ return '[{}{}]'.format(count, unit)
187
+
188
+
189
+ def _struct_dict_str(dtype, includealignedflag):
190
+ # unpack the fields dictionary into ls
191
+ names = dtype.names
192
+ fld_dtypes = []
193
+ offsets = []
194
+ titles = []
195
+ for name in names:
196
+ fld_dtype, offset, title = _unpack_field(*dtype.fields[name])
197
+ fld_dtypes.append(fld_dtype)
198
+ offsets.append(offset)
199
+ titles.append(title)
200
+
201
+ # Build up a string to make the dictionary
202
+
203
+ if np.core.arrayprint._get_legacy_print_mode() <= 121:
204
+ colon = ":"
205
+ fieldsep = ","
206
+ else:
207
+ colon = ": "
208
+ fieldsep = ", "
209
+
210
+ # First, the names
211
+ ret = "{'names'%s[" % colon
212
+ ret += fieldsep.join(repr(name) for name in names)
213
+
214
+ # Second, the formats
215
+ ret += "], 'formats'%s[" % colon
216
+ ret += fieldsep.join(
217
+ _construction_repr(fld_dtype, short=True) for fld_dtype in fld_dtypes)
218
+
219
+ # Third, the offsets
220
+ ret += "], 'offsets'%s[" % colon
221
+ ret += fieldsep.join("%d" % offset for offset in offsets)
222
+
223
+ # Fourth, the titles
224
+ if any(title is not None for title in titles):
225
+ ret += "], 'titles'%s[" % colon
226
+ ret += fieldsep.join(repr(title) for title in titles)
227
+
228
+ # Fifth, the itemsize
229
+ ret += "], 'itemsize'%s%d" % (colon, dtype.itemsize)
230
+
231
+ if (includealignedflag and dtype.isalignedstruct):
232
+ # Finally, the aligned flag
233
+ ret += ", 'aligned'%sTrue}" % colon
234
+ else:
235
+ ret += "}"
236
+
237
+ return ret
238
+
239
+
240
+ def _aligned_offset(offset, alignment):
241
+ # round up offset:
242
+ return - (-offset // alignment) * alignment
243
+
244
+
245
+ def _is_packed(dtype):
246
+ """
247
+ Checks whether the structured data type in 'dtype'
248
+ has a simple layout, where all the fields are in order,
249
+ and follow each other with no alignment padding.
250
+
251
+ When this returns true, the dtype can be reconstructed
252
+ from a list of the field names and dtypes with no additional
253
+ dtype parameters.
254
+
255
+ Duplicates the C `is_dtype_struct_simple_unaligned_layout` function.
256
+ """
257
+ align = dtype.isalignedstruct
258
+ max_alignment = 1
259
+ total_offset = 0
260
+ for name in dtype.names:
261
+ fld_dtype, fld_offset, title = _unpack_field(*dtype.fields[name])
262
+
263
+ if align:
264
+ total_offset = _aligned_offset(total_offset, fld_dtype.alignment)
265
+ max_alignment = max(max_alignment, fld_dtype.alignment)
266
+
267
+ if fld_offset != total_offset:
268
+ return False
269
+ total_offset += fld_dtype.itemsize
270
+
271
+ if align:
272
+ total_offset = _aligned_offset(total_offset, max_alignment)
273
+
274
+ if total_offset != dtype.itemsize:
275
+ return False
276
+ return True
277
+
278
+
279
+ def _struct_list_str(dtype):
280
+ items = []
281
+ for name in dtype.names:
282
+ fld_dtype, fld_offset, title = _unpack_field(*dtype.fields[name])
283
+
284
+ item = "("
285
+ if title is not None:
286
+ item += "({!r}, {!r}), ".format(title, name)
287
+ else:
288
+ item += "{!r}, ".format(name)
289
+ # Special case subarray handling here
290
+ if fld_dtype.subdtype is not None:
291
+ base, shape = fld_dtype.subdtype
292
+ item += "{}, {}".format(
293
+ _construction_repr(base, short=True),
294
+ shape
295
+ )
296
+ else:
297
+ item += _construction_repr(fld_dtype, short=True)
298
+
299
+ item += ")"
300
+ items.append(item)
301
+
302
+ return "[" + ", ".join(items) + "]"
303
+
304
+
305
+ def _struct_str(dtype, include_align):
306
+ # The list str representation can't include the 'align=' flag,
307
+ # so if it is requested and the struct has the aligned flag set,
308
+ # we must use the dict str instead.
309
+ if not (include_align and dtype.isalignedstruct) and _is_packed(dtype):
310
+ sub = _struct_list_str(dtype)
311
+
312
+ else:
313
+ sub = _struct_dict_str(dtype, include_align)
314
+
315
+ # If the data type isn't the default, void, show it
316
+ if dtype.type != np.void:
317
+ return "({t.__module__}.{t.__name__}, {f})".format(t=dtype.type, f=sub)
318
+ else:
319
+ return sub
320
+
321
+
322
+ def _subarray_str(dtype):
323
+ base, shape = dtype.subdtype
324
+ return "({}, {})".format(
325
+ _construction_repr(base, short=True),
326
+ shape
327
+ )
328
+
329
+
330
+ def _name_includes_bit_suffix(dtype):
331
+ if dtype.type == np.object_:
332
+ # pointer size varies by system, best to omit it
333
+ return False
334
+ elif dtype.type == np.bool_:
335
+ # implied
336
+ return False
337
+ elif dtype.type is None:
338
+ return True
339
+ elif np.issubdtype(dtype, np.flexible) and _isunsized(dtype):
340
+ # unspecified
341
+ return False
342
+ else:
343
+ return True
344
+
345
+
346
+ def _name_get(dtype):
347
+ # provides dtype.name.__get__, documented as returning a "bit name"
348
+
349
+ if dtype.isbuiltin == 2:
350
+ # user dtypes don't promise to do anything special
351
+ return dtype.type.__name__
352
+
353
+ if dtype.kind == '\x00':
354
+ name = type(dtype).__name__
355
+ elif issubclass(dtype.type, np.void):
356
+ # historically, void subclasses preserve their name, eg `record64`
357
+ name = dtype.type.__name__
358
+ else:
359
+ name = _kind_name(dtype)
360
+
361
+ # append bit counts
362
+ if _name_includes_bit_suffix(dtype):
363
+ name += "{}".format(dtype.itemsize * 8)
364
+
365
+ # append metadata to datetimes
366
+ if dtype.type in (np.datetime64, np.timedelta64):
367
+ name += _datetime_metadata_str(dtype)
368
+
369
+ return name
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_machar.py ADDED
@@ -0,0 +1,356 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Machine arithmetic - determine the parameters of the
3
+ floating-point arithmetic system
4
+
5
+ Author: Pearu Peterson, September 2003
6
+
7
+ """
8
+ __all__ = ['MachAr']
9
+
10
+ from .fromnumeric import any
11
+ from ._ufunc_config import errstate
12
+ from .._utils import set_module
13
+
14
+ # Need to speed this up...especially for longfloat
15
+
16
+ # Deprecated 2021-10-20, NumPy 1.22
17
+ class MachAr:
18
+ """
19
+ Diagnosing machine parameters.
20
+
21
+ Attributes
22
+ ----------
23
+ ibeta : int
24
+ Radix in which numbers are represented.
25
+ it : int
26
+ Number of base-`ibeta` digits in the floating point mantissa M.
27
+ machep : int
28
+ Exponent of the smallest (most negative) power of `ibeta` that,
29
+ added to 1.0, gives something different from 1.0
30
+ eps : float
31
+ Floating-point number ``beta**machep`` (floating point precision)
32
+ negep : int
33
+ Exponent of the smallest power of `ibeta` that, subtracted
34
+ from 1.0, gives something different from 1.0.
35
+ epsneg : float
36
+ Floating-point number ``beta**negep``.
37
+ iexp : int
38
+ Number of bits in the exponent (including its sign and bias).
39
+ minexp : int
40
+ Smallest (most negative) power of `ibeta` consistent with there
41
+ being no leading zeros in the mantissa.
42
+ xmin : float
43
+ Floating-point number ``beta**minexp`` (the smallest [in
44
+ magnitude] positive floating point number with full precision).
45
+ maxexp : int
46
+ Smallest (positive) power of `ibeta` that causes overflow.
47
+ xmax : float
48
+ ``(1-epsneg) * beta**maxexp`` (the largest [in magnitude]
49
+ usable floating value).
50
+ irnd : int
51
+ In ``range(6)``, information on what kind of rounding is done
52
+ in addition, and on how underflow is handled.
53
+ ngrd : int
54
+ Number of 'guard digits' used when truncating the product
55
+ of two mantissas to fit the representation.
56
+ epsilon : float
57
+ Same as `eps`.
58
+ tiny : float
59
+ An alias for `smallest_normal`, kept for backwards compatibility.
60
+ huge : float
61
+ Same as `xmax`.
62
+ precision : float
63
+ ``- int(-log10(eps))``
64
+ resolution : float
65
+ ``- 10**(-precision)``
66
+ smallest_normal : float
67
+ The smallest positive floating point number with 1 as leading bit in
68
+ the mantissa following IEEE-754. Same as `xmin`.
69
+ smallest_subnormal : float
70
+ The smallest positive floating point number with 0 as leading bit in
71
+ the mantissa following IEEE-754.
72
+
73
+ Parameters
74
+ ----------
75
+ float_conv : function, optional
76
+ Function that converts an integer or integer array to a float
77
+ or float array. Default is `float`.
78
+ int_conv : function, optional
79
+ Function that converts a float or float array to an integer or
80
+ integer array. Default is `int`.
81
+ float_to_float : function, optional
82
+ Function that converts a float array to float. Default is `float`.
83
+ Note that this does not seem to do anything useful in the current
84
+ implementation.
85
+ float_to_str : function, optional
86
+ Function that converts a single float to a string. Default is
87
+ ``lambda v:'%24.16e' %v``.
88
+ title : str, optional
89
+ Title that is printed in the string representation of `MachAr`.
90
+
91
+ See Also
92
+ --------
93
+ finfo : Machine limits for floating point types.
94
+ iinfo : Machine limits for integer types.
95
+
96
+ References
97
+ ----------
98
+ .. [1] Press, Teukolsky, Vetterling and Flannery,
99
+ "Numerical Recipes in C++," 2nd ed,
100
+ Cambridge University Press, 2002, p. 31.
101
+
102
+ """
103
+
104
+ def __init__(self, float_conv=float,int_conv=int,
105
+ float_to_float=float,
106
+ float_to_str=lambda v:'%24.16e' % v,
107
+ title='Python floating point number'):
108
+ """
109
+
110
+ float_conv - convert integer to float (array)
111
+ int_conv - convert float (array) to integer
112
+ float_to_float - convert float array to float
113
+ float_to_str - convert array float to str
114
+ title - description of used floating point numbers
115
+
116
+ """
117
+ # We ignore all errors here because we are purposely triggering
118
+ # underflow to detect the properties of the runninng arch.
119
+ with errstate(under='ignore'):
120
+ self._do_init(float_conv, int_conv, float_to_float, float_to_str, title)
121
+
122
+ def _do_init(self, float_conv, int_conv, float_to_float, float_to_str, title):
123
+ max_iterN = 10000
124
+ msg = "Did not converge after %d tries with %s"
125
+ one = float_conv(1)
126
+ two = one + one
127
+ zero = one - one
128
+
129
+ # Do we really need to do this? Aren't they 2 and 2.0?
130
+ # Determine ibeta and beta
131
+ a = one
132
+ for _ in range(max_iterN):
133
+ a = a + a
134
+ temp = a + one
135
+ temp1 = temp - a
136
+ if any(temp1 - one != zero):
137
+ break
138
+ else:
139
+ raise RuntimeError(msg % (_, one.dtype))
140
+ b = one
141
+ for _ in range(max_iterN):
142
+ b = b + b
143
+ temp = a + b
144
+ itemp = int_conv(temp-a)
145
+ if any(itemp != 0):
146
+ break
147
+ else:
148
+ raise RuntimeError(msg % (_, one.dtype))
149
+ ibeta = itemp
150
+ beta = float_conv(ibeta)
151
+
152
+ # Determine it and irnd
153
+ it = -1
154
+ b = one
155
+ for _ in range(max_iterN):
156
+ it = it + 1
157
+ b = b * beta
158
+ temp = b + one
159
+ temp1 = temp - b
160
+ if any(temp1 - one != zero):
161
+ break
162
+ else:
163
+ raise RuntimeError(msg % (_, one.dtype))
164
+
165
+ betah = beta / two
166
+ a = one
167
+ for _ in range(max_iterN):
168
+ a = a + a
169
+ temp = a + one
170
+ temp1 = temp - a
171
+ if any(temp1 - one != zero):
172
+ break
173
+ else:
174
+ raise RuntimeError(msg % (_, one.dtype))
175
+ temp = a + betah
176
+ irnd = 0
177
+ if any(temp-a != zero):
178
+ irnd = 1
179
+ tempa = a + beta
180
+ temp = tempa + betah
181
+ if irnd == 0 and any(temp-tempa != zero):
182
+ irnd = 2
183
+
184
+ # Determine negep and epsneg
185
+ negep = it + 3
186
+ betain = one / beta
187
+ a = one
188
+ for i in range(negep):
189
+ a = a * betain
190
+ b = a
191
+ for _ in range(max_iterN):
192
+ temp = one - a
193
+ if any(temp-one != zero):
194
+ break
195
+ a = a * beta
196
+ negep = negep - 1
197
+ # Prevent infinite loop on PPC with gcc 4.0:
198
+ if negep < 0:
199
+ raise RuntimeError("could not determine machine tolerance "
200
+ "for 'negep', locals() -> %s" % (locals()))
201
+ else:
202
+ raise RuntimeError(msg % (_, one.dtype))
203
+ negep = -negep
204
+ epsneg = a
205
+
206
+ # Determine machep and eps
207
+ machep = - it - 3
208
+ a = b
209
+
210
+ for _ in range(max_iterN):
211
+ temp = one + a
212
+ if any(temp-one != zero):
213
+ break
214
+ a = a * beta
215
+ machep = machep + 1
216
+ else:
217
+ raise RuntimeError(msg % (_, one.dtype))
218
+ eps = a
219
+
220
+ # Determine ngrd
221
+ ngrd = 0
222
+ temp = one + eps
223
+ if irnd == 0 and any(temp*one - one != zero):
224
+ ngrd = 1
225
+
226
+ # Determine iexp
227
+ i = 0
228
+ k = 1
229
+ z = betain
230
+ t = one + eps
231
+ nxres = 0
232
+ for _ in range(max_iterN):
233
+ y = z
234
+ z = y*y
235
+ a = z*one # Check here for underflow
236
+ temp = z*t
237
+ if any(a+a == zero) or any(abs(z) >= y):
238
+ break
239
+ temp1 = temp * betain
240
+ if any(temp1*beta == z):
241
+ break
242
+ i = i + 1
243
+ k = k + k
244
+ else:
245
+ raise RuntimeError(msg % (_, one.dtype))
246
+ if ibeta != 10:
247
+ iexp = i + 1
248
+ mx = k + k
249
+ else:
250
+ iexp = 2
251
+ iz = ibeta
252
+ while k >= iz:
253
+ iz = iz * ibeta
254
+ iexp = iexp + 1
255
+ mx = iz + iz - 1
256
+
257
+ # Determine minexp and xmin
258
+ for _ in range(max_iterN):
259
+ xmin = y
260
+ y = y * betain
261
+ a = y * one
262
+ temp = y * t
263
+ if any((a + a) != zero) and any(abs(y) < xmin):
264
+ k = k + 1
265
+ temp1 = temp * betain
266
+ if any(temp1*beta == y) and any(temp != y):
267
+ nxres = 3
268
+ xmin = y
269
+ break
270
+ else:
271
+ break
272
+ else:
273
+ raise RuntimeError(msg % (_, one.dtype))
274
+ minexp = -k
275
+
276
+ # Determine maxexp, xmax
277
+ if mx <= k + k - 3 and ibeta != 10:
278
+ mx = mx + mx
279
+ iexp = iexp + 1
280
+ maxexp = mx + minexp
281
+ irnd = irnd + nxres
282
+ if irnd >= 2:
283
+ maxexp = maxexp - 2
284
+ i = maxexp + minexp
285
+ if ibeta == 2 and not i:
286
+ maxexp = maxexp - 1
287
+ if i > 20:
288
+ maxexp = maxexp - 1
289
+ if any(a != y):
290
+ maxexp = maxexp - 2
291
+ xmax = one - epsneg
292
+ if any(xmax*one != xmax):
293
+ xmax = one - beta*epsneg
294
+ xmax = xmax / (xmin*beta*beta*beta)
295
+ i = maxexp + minexp + 3
296
+ for j in range(i):
297
+ if ibeta == 2:
298
+ xmax = xmax + xmax
299
+ else:
300
+ xmax = xmax * beta
301
+
302
+ smallest_subnormal = abs(xmin / beta ** (it))
303
+
304
+ self.ibeta = ibeta
305
+ self.it = it
306
+ self.negep = negep
307
+ self.epsneg = float_to_float(epsneg)
308
+ self._str_epsneg = float_to_str(epsneg)
309
+ self.machep = machep
310
+ self.eps = float_to_float(eps)
311
+ self._str_eps = float_to_str(eps)
312
+ self.ngrd = ngrd
313
+ self.iexp = iexp
314
+ self.minexp = minexp
315
+ self.xmin = float_to_float(xmin)
316
+ self._str_xmin = float_to_str(xmin)
317
+ self.maxexp = maxexp
318
+ self.xmax = float_to_float(xmax)
319
+ self._str_xmax = float_to_str(xmax)
320
+ self.irnd = irnd
321
+
322
+ self.title = title
323
+ # Commonly used parameters
324
+ self.epsilon = self.eps
325
+ self.tiny = self.xmin
326
+ self.huge = self.xmax
327
+ self.smallest_normal = self.xmin
328
+ self._str_smallest_normal = float_to_str(self.xmin)
329
+ self.smallest_subnormal = float_to_float(smallest_subnormal)
330
+ self._str_smallest_subnormal = float_to_str(smallest_subnormal)
331
+
332
+ import math
333
+ self.precision = int(-math.log10(float_to_float(self.eps)))
334
+ ten = two + two + two + two + two
335
+ resolution = ten ** (-self.precision)
336
+ self.resolution = float_to_float(resolution)
337
+ self._str_resolution = float_to_str(resolution)
338
+
339
+ def __str__(self):
340
+ fmt = (
341
+ 'Machine parameters for %(title)s\n'
342
+ '---------------------------------------------------------------------\n'
343
+ 'ibeta=%(ibeta)s it=%(it)s iexp=%(iexp)s ngrd=%(ngrd)s irnd=%(irnd)s\n'
344
+ 'machep=%(machep)s eps=%(_str_eps)s (beta**machep == epsilon)\n'
345
+ 'negep =%(negep)s epsneg=%(_str_epsneg)s (beta**epsneg)\n'
346
+ 'minexp=%(minexp)s xmin=%(_str_xmin)s (beta**minexp == tiny)\n'
347
+ 'maxexp=%(maxexp)s xmax=%(_str_xmax)s ((1-epsneg)*beta**maxexp == huge)\n'
348
+ 'smallest_normal=%(smallest_normal)s '
349
+ 'smallest_subnormal=%(smallest_subnormal)s\n'
350
+ '---------------------------------------------------------------------\n'
351
+ )
352
+ return fmt % self.__dict__
353
+
354
+
355
+ if __name__ == '__main__':
356
+ print(MachAr())
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_multiarray_tests.cpython-310-x86_64-linux-gnu.so ADDED
@@ -0,0 +1,3 @@
 
 
 
 
1
+ version https://git-lfs.github.com/spec/v1
2
+ oid sha256:0de46f5496fc26171572adc200ca54ac5ee4703fc4cd9f6173e38eb2ee21c20b
3
+ size 175912
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_rational_tests.cpython-310-x86_64-linux-gnu.so ADDED
Binary file (59.8 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/_string_helpers.py ADDED
@@ -0,0 +1,100 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ String-handling utilities to avoid locale-dependence.
3
+
4
+ Used primarily to generate type name aliases.
5
+ """
6
+ # "import string" is costly to import!
7
+ # Construct the translation tables directly
8
+ # "A" = chr(65), "a" = chr(97)
9
+ _all_chars = tuple(map(chr, range(256)))
10
+ _ascii_upper = _all_chars[65:65+26]
11
+ _ascii_lower = _all_chars[97:97+26]
12
+ LOWER_TABLE = "".join(_all_chars[:65] + _ascii_lower + _all_chars[65+26:])
13
+ UPPER_TABLE = "".join(_all_chars[:97] + _ascii_upper + _all_chars[97+26:])
14
+
15
+
16
+ def english_lower(s):
17
+ """ Apply English case rules to convert ASCII strings to all lower case.
18
+
19
+ This is an internal utility function to replace calls to str.lower() such
20
+ that we can avoid changing behavior with changing locales. In particular,
21
+ Turkish has distinct dotted and dotless variants of the Latin letter "I" in
22
+ both lowercase and uppercase. Thus, "I".lower() != "i" in a "tr" locale.
23
+
24
+ Parameters
25
+ ----------
26
+ s : str
27
+
28
+ Returns
29
+ -------
30
+ lowered : str
31
+
32
+ Examples
33
+ --------
34
+ >>> from numpy.core.numerictypes import english_lower
35
+ >>> english_lower('ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_')
36
+ 'abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyz0123456789_'
37
+ >>> english_lower('')
38
+ ''
39
+ """
40
+ lowered = s.translate(LOWER_TABLE)
41
+ return lowered
42
+
43
+
44
+ def english_upper(s):
45
+ """ Apply English case rules to convert ASCII strings to all upper case.
46
+
47
+ This is an internal utility function to replace calls to str.upper() such
48
+ that we can avoid changing behavior with changing locales. In particular,
49
+ Turkish has distinct dotted and dotless variants of the Latin letter "I" in
50
+ both lowercase and uppercase. Thus, "i".upper() != "I" in a "tr" locale.
51
+
52
+ Parameters
53
+ ----------
54
+ s : str
55
+
56
+ Returns
57
+ -------
58
+ uppered : str
59
+
60
+ Examples
61
+ --------
62
+ >>> from numpy.core.numerictypes import english_upper
63
+ >>> english_upper('ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_')
64
+ 'ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_'
65
+ >>> english_upper('')
66
+ ''
67
+ """
68
+ uppered = s.translate(UPPER_TABLE)
69
+ return uppered
70
+
71
+
72
+ def english_capitalize(s):
73
+ """ Apply English case rules to convert the first character of an ASCII
74
+ string to upper case.
75
+
76
+ This is an internal utility function to replace calls to str.capitalize()
77
+ such that we can avoid changing behavior with changing locales.
78
+
79
+ Parameters
80
+ ----------
81
+ s : str
82
+
83
+ Returns
84
+ -------
85
+ capitalized : str
86
+
87
+ Examples
88
+ --------
89
+ >>> from numpy.core.numerictypes import english_capitalize
90
+ >>> english_capitalize('int8')
91
+ 'Int8'
92
+ >>> english_capitalize('Int8')
93
+ 'Int8'
94
+ >>> english_capitalize('')
95
+ ''
96
+ """
97
+ if s:
98
+ return english_upper(s[0]) + s[1:]
99
+ else:
100
+ return s
infer_4_47_1/lib/python3.10/site-packages/numpy/core/cversions.py ADDED
@@ -0,0 +1,13 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Simple script to compute the api hash of the current API.
2
+
3
+ The API has is defined by numpy_api_order and ufunc_api_order.
4
+
5
+ """
6
+ from os.path import dirname
7
+
8
+ from code_generators.genapi import fullapi_hash
9
+ from code_generators.numpy_api import full_api
10
+
11
+ if __name__ == '__main__':
12
+ curdir = dirname(__file__)
13
+ print(fullapi_hash(full_api))
infer_4_47_1/lib/python3.10/site-packages/numpy/core/memmap.py ADDED
@@ -0,0 +1,338 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from contextlib import nullcontext
2
+
3
+ import numpy as np
4
+ from .._utils import set_module
5
+ from .numeric import uint8, ndarray, dtype
6
+ from numpy.compat import os_fspath, is_pathlib_path
7
+
8
+ __all__ = ['memmap']
9
+
10
+ dtypedescr = dtype
11
+ valid_filemodes = ["r", "c", "r+", "w+"]
12
+ writeable_filemodes = ["r+", "w+"]
13
+
14
+ mode_equivalents = {
15
+ "readonly":"r",
16
+ "copyonwrite":"c",
17
+ "readwrite":"r+",
18
+ "write":"w+"
19
+ }
20
+
21
+
22
+ @set_module('numpy')
23
+ class memmap(ndarray):
24
+ """Create a memory-map to an array stored in a *binary* file on disk.
25
+
26
+ Memory-mapped files are used for accessing small segments of large files
27
+ on disk, without reading the entire file into memory. NumPy's
28
+ memmap's are array-like objects. This differs from Python's ``mmap``
29
+ module, which uses file-like objects.
30
+
31
+ This subclass of ndarray has some unpleasant interactions with
32
+ some operations, because it doesn't quite fit properly as a subclass.
33
+ An alternative to using this subclass is to create the ``mmap``
34
+ object yourself, then create an ndarray with ndarray.__new__ directly,
35
+ passing the object created in its 'buffer=' parameter.
36
+
37
+ This class may at some point be turned into a factory function
38
+ which returns a view into an mmap buffer.
39
+
40
+ Flush the memmap instance to write the changes to the file. Currently there
41
+ is no API to close the underlying ``mmap``. It is tricky to ensure the
42
+ resource is actually closed, since it may be shared between different
43
+ memmap instances.
44
+
45
+
46
+ Parameters
47
+ ----------
48
+ filename : str, file-like object, or pathlib.Path instance
49
+ The file name or file object to be used as the array data buffer.
50
+ dtype : data-type, optional
51
+ The data-type used to interpret the file contents.
52
+ Default is `uint8`.
53
+ mode : {'r+', 'r', 'w+', 'c'}, optional
54
+ The file is opened in this mode:
55
+
56
+ +------+-------------------------------------------------------------+
57
+ | 'r' | Open existing file for reading only. |
58
+ +------+-------------------------------------------------------------+
59
+ | 'r+' | Open existing file for reading and writing. |
60
+ +------+-------------------------------------------------------------+
61
+ | 'w+' | Create or overwrite existing file for reading and writing. |
62
+ | | If ``mode == 'w+'`` then `shape` must also be specified. |
63
+ +------+-------------------------------------------------------------+
64
+ | 'c' | Copy-on-write: assignments affect data in memory, but |
65
+ | | changes are not saved to disk. The file on disk is |
66
+ | | read-only. |
67
+ +------+-------------------------------------------------------------+
68
+
69
+ Default is 'r+'.
70
+ offset : int, optional
71
+ In the file, array data starts at this offset. Since `offset` is
72
+ measured in bytes, it should normally be a multiple of the byte-size
73
+ of `dtype`. When ``mode != 'r'``, even positive offsets beyond end of
74
+ file are valid; The file will be extended to accommodate the
75
+ additional data. By default, ``memmap`` will start at the beginning of
76
+ the file, even if ``filename`` is a file pointer ``fp`` and
77
+ ``fp.tell() != 0``.
78
+ shape : tuple, optional
79
+ The desired shape of the array. If ``mode == 'r'`` and the number
80
+ of remaining bytes after `offset` is not a multiple of the byte-size
81
+ of `dtype`, you must specify `shape`. By default, the returned array
82
+ will be 1-D with the number of elements determined by file size
83
+ and data-type.
84
+ order : {'C', 'F'}, optional
85
+ Specify the order of the ndarray memory layout:
86
+ :term:`row-major`, C-style or :term:`column-major`,
87
+ Fortran-style. This only has an effect if the shape is
88
+ greater than 1-D. The default order is 'C'.
89
+
90
+ Attributes
91
+ ----------
92
+ filename : str or pathlib.Path instance
93
+ Path to the mapped file.
94
+ offset : int
95
+ Offset position in the file.
96
+ mode : str
97
+ File mode.
98
+
99
+ Methods
100
+ -------
101
+ flush
102
+ Flush any changes in memory to file on disk.
103
+ When you delete a memmap object, flush is called first to write
104
+ changes to disk.
105
+
106
+
107
+ See also
108
+ --------
109
+ lib.format.open_memmap : Create or load a memory-mapped ``.npy`` file.
110
+
111
+ Notes
112
+ -----
113
+ The memmap object can be used anywhere an ndarray is accepted.
114
+ Given a memmap ``fp``, ``isinstance(fp, numpy.ndarray)`` returns
115
+ ``True``.
116
+
117
+ Memory-mapped files cannot be larger than 2GB on 32-bit systems.
118
+
119
+ When a memmap causes a file to be created or extended beyond its
120
+ current size in the filesystem, the contents of the new part are
121
+ unspecified. On systems with POSIX filesystem semantics, the extended
122
+ part will be filled with zero bytes.
123
+
124
+ Examples
125
+ --------
126
+ >>> data = np.arange(12, dtype='float32')
127
+ >>> data.resize((3,4))
128
+
129
+ This example uses a temporary file so that doctest doesn't write
130
+ files to your directory. You would use a 'normal' filename.
131
+
132
+ >>> from tempfile import mkdtemp
133
+ >>> import os.path as path
134
+ >>> filename = path.join(mkdtemp(), 'newfile.dat')
135
+
136
+ Create a memmap with dtype and shape that matches our data:
137
+
138
+ >>> fp = np.memmap(filename, dtype='float32', mode='w+', shape=(3,4))
139
+ >>> fp
140
+ memmap([[0., 0., 0., 0.],
141
+ [0., 0., 0., 0.],
142
+ [0., 0., 0., 0.]], dtype=float32)
143
+
144
+ Write data to memmap array:
145
+
146
+ >>> fp[:] = data[:]
147
+ >>> fp
148
+ memmap([[ 0., 1., 2., 3.],
149
+ [ 4., 5., 6., 7.],
150
+ [ 8., 9., 10., 11.]], dtype=float32)
151
+
152
+ >>> fp.filename == path.abspath(filename)
153
+ True
154
+
155
+ Flushes memory changes to disk in order to read them back
156
+
157
+ >>> fp.flush()
158
+
159
+ Load the memmap and verify data was stored:
160
+
161
+ >>> newfp = np.memmap(filename, dtype='float32', mode='r', shape=(3,4))
162
+ >>> newfp
163
+ memmap([[ 0., 1., 2., 3.],
164
+ [ 4., 5., 6., 7.],
165
+ [ 8., 9., 10., 11.]], dtype=float32)
166
+
167
+ Read-only memmap:
168
+
169
+ >>> fpr = np.memmap(filename, dtype='float32', mode='r', shape=(3,4))
170
+ >>> fpr.flags.writeable
171
+ False
172
+
173
+ Copy-on-write memmap:
174
+
175
+ >>> fpc = np.memmap(filename, dtype='float32', mode='c', shape=(3,4))
176
+ >>> fpc.flags.writeable
177
+ True
178
+
179
+ It's possible to assign to copy-on-write array, but values are only
180
+ written into the memory copy of the array, and not written to disk:
181
+
182
+ >>> fpc
183
+ memmap([[ 0., 1., 2., 3.],
184
+ [ 4., 5., 6., 7.],
185
+ [ 8., 9., 10., 11.]], dtype=float32)
186
+ >>> fpc[0,:] = 0
187
+ >>> fpc
188
+ memmap([[ 0., 0., 0., 0.],
189
+ [ 4., 5., 6., 7.],
190
+ [ 8., 9., 10., 11.]], dtype=float32)
191
+
192
+ File on disk is unchanged:
193
+
194
+ >>> fpr
195
+ memmap([[ 0., 1., 2., 3.],
196
+ [ 4., 5., 6., 7.],
197
+ [ 8., 9., 10., 11.]], dtype=float32)
198
+
199
+ Offset into a memmap:
200
+
201
+ >>> fpo = np.memmap(filename, dtype='float32', mode='r', offset=16)
202
+ >>> fpo
203
+ memmap([ 4., 5., 6., 7., 8., 9., 10., 11.], dtype=float32)
204
+
205
+ """
206
+
207
+ __array_priority__ = -100.0
208
+
209
+ def __new__(subtype, filename, dtype=uint8, mode='r+', offset=0,
210
+ shape=None, order='C'):
211
+ # Import here to minimize 'import numpy' overhead
212
+ import mmap
213
+ import os.path
214
+ try:
215
+ mode = mode_equivalents[mode]
216
+ except KeyError as e:
217
+ if mode not in valid_filemodes:
218
+ raise ValueError(
219
+ "mode must be one of {!r} (got {!r})"
220
+ .format(valid_filemodes + list(mode_equivalents.keys()), mode)
221
+ ) from None
222
+
223
+ if mode == 'w+' and shape is None:
224
+ raise ValueError("shape must be given if mode == 'w+'")
225
+
226
+ if hasattr(filename, 'read'):
227
+ f_ctx = nullcontext(filename)
228
+ else:
229
+ f_ctx = open(os_fspath(filename), ('r' if mode == 'c' else mode)+'b')
230
+
231
+ with f_ctx as fid:
232
+ fid.seek(0, 2)
233
+ flen = fid.tell()
234
+ descr = dtypedescr(dtype)
235
+ _dbytes = descr.itemsize
236
+
237
+ if shape is None:
238
+ bytes = flen - offset
239
+ if bytes % _dbytes:
240
+ raise ValueError("Size of available data is not a "
241
+ "multiple of the data-type size.")
242
+ size = bytes // _dbytes
243
+ shape = (size,)
244
+ else:
245
+ if not isinstance(shape, tuple):
246
+ shape = (shape,)
247
+ size = np.intp(1) # avoid default choice of np.int_, which might overflow
248
+ for k in shape:
249
+ size *= k
250
+
251
+ bytes = int(offset + size*_dbytes)
252
+
253
+ if mode in ('w+', 'r+') and flen < bytes:
254
+ fid.seek(bytes - 1, 0)
255
+ fid.write(b'\0')
256
+ fid.flush()
257
+
258
+ if mode == 'c':
259
+ acc = mmap.ACCESS_COPY
260
+ elif mode == 'r':
261
+ acc = mmap.ACCESS_READ
262
+ else:
263
+ acc = mmap.ACCESS_WRITE
264
+
265
+ start = offset - offset % mmap.ALLOCATIONGRANULARITY
266
+ bytes -= start
267
+ array_offset = offset - start
268
+ mm = mmap.mmap(fid.fileno(), bytes, access=acc, offset=start)
269
+
270
+ self = ndarray.__new__(subtype, shape, dtype=descr, buffer=mm,
271
+ offset=array_offset, order=order)
272
+ self._mmap = mm
273
+ self.offset = offset
274
+ self.mode = mode
275
+
276
+ if is_pathlib_path(filename):
277
+ # special case - if we were constructed with a pathlib.path,
278
+ # then filename is a path object, not a string
279
+ self.filename = filename.resolve()
280
+ elif hasattr(fid, "name") and isinstance(fid.name, str):
281
+ # py3 returns int for TemporaryFile().name
282
+ self.filename = os.path.abspath(fid.name)
283
+ # same as memmap copies (e.g. memmap + 1)
284
+ else:
285
+ self.filename = None
286
+
287
+ return self
288
+
289
+ def __array_finalize__(self, obj):
290
+ if hasattr(obj, '_mmap') and np.may_share_memory(self, obj):
291
+ self._mmap = obj._mmap
292
+ self.filename = obj.filename
293
+ self.offset = obj.offset
294
+ self.mode = obj.mode
295
+ else:
296
+ self._mmap = None
297
+ self.filename = None
298
+ self.offset = None
299
+ self.mode = None
300
+
301
+ def flush(self):
302
+ """
303
+ Write any changes in the array to the file on disk.
304
+
305
+ For further information, see `memmap`.
306
+
307
+ Parameters
308
+ ----------
309
+ None
310
+
311
+ See Also
312
+ --------
313
+ memmap
314
+
315
+ """
316
+ if self.base is not None and hasattr(self.base, 'flush'):
317
+ self.base.flush()
318
+
319
+ def __array_wrap__(self, arr, context=None):
320
+ arr = super().__array_wrap__(arr, context)
321
+
322
+ # Return a memmap if a memmap was given as the output of the
323
+ # ufunc. Leave the arr class unchanged if self is not a memmap
324
+ # to keep original memmap subclasses behavior
325
+ if self is arr or type(self) is not memmap:
326
+ return arr
327
+ # Return scalar instead of 0d memmap, e.g. for np.sum with
328
+ # axis=None
329
+ if arr.shape == ():
330
+ return arr[()]
331
+ # Return ndarray otherwise
332
+ return arr.view(np.ndarray)
333
+
334
+ def __getitem__(self, index):
335
+ res = super().__getitem__(index)
336
+ if type(res) is memmap and res._mmap is None:
337
+ return res.view(type=ndarray)
338
+ return res
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_array_interface.cpython-310.pyc ADDED
Binary file (6.03 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_casting_unittests.cpython-310.pyc ADDED
Binary file (20.5 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_conversion_utils.cpython-310.pyc ADDED
Binary file (8.31 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_cpu_dispatcher.cpython-310.pyc ADDED
Binary file (1.05 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_cython.cpython-310.pyc ADDED
Binary file (3.59 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_deprecations.cpython-310.pyc ADDED
Binary file (39.1 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_dlpack.cpython-310.pyc ADDED
Binary file (5.05 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_einsum.cpython-310.pyc ADDED
Binary file (35 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_hashtable.cpython-310.pyc ADDED
Binary file (1.1 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_longdouble.cpython-310.pyc ADDED
Binary file (13 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_mem_overlap.cpython-310.pyc ADDED
Binary file (25.8 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_mem_policy.cpython-310.pyc ADDED
Binary file (13.3 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalar_ctors.cpython-310.pyc ADDED
Binary file (6.8 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalarinherit.cpython-310.pyc ADDED
Binary file (3.69 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_scalarprint.cpython-310.pyc ADDED
Binary file (11.6 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_simd_module.cpython-310.pyc ADDED
Binary file (4.02 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_ufunc.cpython-310.pyc ADDED
Binary file (98.9 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_umath_complex.cpython-310.pyc ADDED
Binary file (17.1 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/__pycache__/test_unicode.cpython-310.pyc ADDED
Binary file (10.8 kB). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/examples/cython/__pycache__/setup.cpython-310.pyc ADDED
Binary file (712 Bytes). View file
 
infer_4_47_1/lib/python3.10/site-packages/numpy/core/tests/examples/cython/checks.pyx ADDED
@@ -0,0 +1,35 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #cython: language_level=3
2
+
3
+ """
4
+ Functions in this module give python-space wrappers for cython functions
5
+ exposed in numpy/__init__.pxd, so they can be tested in test_cython.py
6
+ """
7
+ cimport numpy as cnp
8
+ cnp.import_array()
9
+
10
+
11
+ def is_td64(obj):
12
+ return cnp.is_timedelta64_object(obj)
13
+
14
+
15
+ def is_dt64(obj):
16
+ return cnp.is_datetime64_object(obj)
17
+
18
+
19
+ def get_dt64_value(obj):
20
+ return cnp.get_datetime64_value(obj)
21
+
22
+
23
+ def get_td64_value(obj):
24
+ return cnp.get_timedelta64_value(obj)
25
+
26
+
27
+ def get_dt64_unit(obj):
28
+ return cnp.get_datetime64_unit(obj)
29
+
30
+
31
+ def is_integer(obj):
32
+ return isinstance(obj, (cnp.integer, int))
33
+
34
+ def conv_intp(cnp.intp_t val):
35
+ return val