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1
+ Metadata-Version: 2.1
2
+ Name: gradio_client
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+ Version: 0.2.9
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+ Summary: Python library for easily interacting with trained machine learning models
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+ Project-URL: Homepage, https://github.com/gradio-app/gradio
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+ Author-email: Abubakar Abid <team@gradio.app>, Ali Abid <team@gradio.app>, Ali Abdalla <team@gradio.app>, Dawood Khan <team@gradio.app>, Ahsen Khaliq <team@gradio.app>, Pete Allen <team@gradio.app>, Freddy Boulton <team@gradio.app>
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+ License-Expression: Apache-2.0
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+ Keywords: API,client,machine learning
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+ Classifier: Development Status :: 4 - Beta
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+ Classifier: License :: OSI Approved :: Apache Software License
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+ Classifier: Operating System :: OS Independent
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+ Classifier: Programming Language :: Python :: 3
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+ Classifier: Programming Language :: Python :: 3 :: Only
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+ Classifier: Programming Language :: Python :: 3.8
15
+ Classifier: Programming Language :: Python :: 3.9
16
+ Classifier: Programming Language :: Python :: 3.10
17
+ Classifier: Programming Language :: Python :: 3.11
18
+ Classifier: Topic :: Scientific/Engineering
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+ Classifier: Topic :: Scientific/Engineering :: Artificial Intelligence
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+ Classifier: Topic :: Software Development :: User Interfaces
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+ Requires-Python: >=3.8
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+ Requires-Dist: fsspec
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+ Requires-Dist: httpx
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+ Requires-Dist: huggingface-hub>=0.13.0
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+ Requires-Dist: packaging
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+ Requires-Dist: requests
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+ Requires-Dist: typing-extensions
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+ Requires-Dist: websockets
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+ Description-Content-Type: text/markdown
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+
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+ # `gradio_client`: Use a Gradio app as an API -- in 3 lines of Python
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+
33
+ This directory contains the source code for `gradio_client`, a lightweight Python library that makes it very easy to use any Gradio app as an API.
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+
35
+ As an example, consider this [Hugging Face Space that transcribes audio files](https://huggingface.co/spaces/abidlabs/whisper) that are recorded from the microphone.
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+
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+ ![](https://huggingface.co/datasets/huggingface/documentation-images/resolve/main/gradio-guides/whisper-screenshot.jpg)
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+
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+ Using the `gradio_client` library, we can easily use the Gradio as an API to transcribe audio files programmatically.
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+
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+ Here's the entire code to do it:
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+
43
+ ```python
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+ from gradio_client import Client
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+
46
+ client = Client("abidlabs/whisper")
47
+ client.predict("audio_sample.wav")
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+
49
+ >> "This is a test of the whisper speech recognition model."
50
+ ```
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+
52
+ The Gradio client works with any Gradio Space, whether it be an image generator, a stateful chatbot, or a tax calculator.
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+
54
+ ## Installation
55
+
56
+ If you already have a recent version of `gradio`, then the `gradio_client` is included as a dependency.
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+
58
+ Otherwise, the lightweight `gradio_client` package can be installed from pip (or pip3) and works with Python versions 3.8 or higher:
59
+
60
+ ```bash
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+ $ pip install gradio_client
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+ ```
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+
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+ ## Basic Usage
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+
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+ ### Connecting to a Space or a Gradio app
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+
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+ Start by connecting instantiating a `Client` object and connecting it to a Gradio app that is running on Spaces (or anywhere else)!
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+
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+ **Connecting to a Space**
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+
72
+ ```python
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+ from gradio_client import Client
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+
75
+ client = Client("abidlabs/en2fr") # a Space that translates from English to French
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+ ```
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+
78
+ You can also connect to private Spaces by passing in your HF token with the `hf_token` parameter. You can get your HF token here: https://huggingface.co/settings/tokens
79
+
80
+ ```python
81
+ from gradio_client import Client
82
+
83
+ client = Client("abidlabs/my-private-space", hf_token="...")
84
+ ```
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+
86
+ **Duplicating a Space for private use**
87
+
88
+ While you can use any public Space as an API, you may get rate limited by Hugging Face if you make too many requests. For unlimited usage of a Space, simply duplicate the Space to create a private Space,
89
+ and then use it to make as many requests as you'd like!
90
+
91
+ The `gradio_client` includes a class method: `Client.duplicate()` to make this process simple:
92
+
93
+ ```python
94
+ from gradio_client import Client
95
+
96
+ client = Client.duplicate("abidlabs/whisper")
97
+ client.predict("audio_sample.wav")
98
+
99
+ >> "This is a test of the whisper speech recognition model."
100
+ ```
101
+
102
+ If you have previously duplicated a Space, re-running `duplicate()` will *not* create a new Space. Instead, the Client will attach to the previously-created Space. So it is safe to re-run the `Client.duplicate()` method multiple times.
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+
104
+ **Note:** if the original Space uses GPUs, your private Space will as well, and your Hugging Face account will get billed based on the price of the GPU. To minimize charges, your Space will automatically go to sleep after 1 hour of inactivity. You can also set the hardware using the `hardware` parameter of `duplicate()`.
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+
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+
107
+ **Connecting a general Gradio app**
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+
109
+ If your app is running somewhere else, just provide the full URL instead, including the "http://" or "https://". Here's an example of making predictions to a Gradio app that is running on a share URL:
110
+
111
+ ```python
112
+ from gradio_client import Client
113
+
114
+ client = Client("https://bec81a83-5b5c-471e.gradio.live")
115
+ ```
116
+
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+
118
+ ### Inspecting the API endpoints
119
+
120
+ Once you have connected to a Gradio app, you can view the APIs that are available to you by calling the `.view_api()` method. For the Whisper Space, we see the following:
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+
122
+ ```
123
+ Client.predict() Usage Info
124
+ ---------------------------
125
+ Named API endpoints: 1
126
+
127
+ - predict(input_audio, api_name="/predict") -> value_0
128
+ Parameters:
129
+ - [Audio] input_audio: str (filepath or URL)
130
+ Returns:
131
+ - [Textbox] value_0: str (value)
132
+ ```
133
+
134
+ This shows us that we have 1 API endpoint in this space, and shows us how to use the API endpoint to make a prediction: we should call the `.predict()` method, providing a parameter `input_audio` of type `str`, which is a `filepath or URL`.
135
+
136
+ We should also provide the `api_name='/predict'` argument. Although this isn't necessary if a Gradio app has a single named endpoint, it does allow us to call different endpoints in a single app if they are available. If an app has unnamed API endpoints, these can also be displayed by running `.view_api(all_endpoints=True)`.
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+
138
+
139
+ ### Making a prediction
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+
141
+ The simplest way to make a prediction is simply to call the `.predict()` function with the appropriate arguments:
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+
143
+ ```python
144
+ from gradio_client import Client
145
+
146
+ client = Client("abidlabs/en2fr")
147
+ client.predict("Hello")
148
+
149
+ >> Bonjour
150
+ ```
151
+
152
+ If there are multiple parameters, then you should pass them as separate arguments to `.predict()`, like this:
153
+
154
+
155
+ ```python
156
+ from gradio_client import Client
157
+
158
+ client = Client("gradio/calculator")
159
+ client.predict(4, "add", 5)
160
+
161
+ >> 9.0
162
+ ```
163
+
164
+ For certain inputs, such as images, you should pass in the filepath or URL to the file. Likewise, for the corresponding output types, you will get a filepath or URL returned.
165
+
166
+ ```python
167
+ from gradio_client import Client
168
+
169
+ client = Client("abidlabs/whisper")
170
+ client.predict("https://audio-samples.github.io/samples/mp3/blizzard_unconditional/sample-0.mp3")
171
+
172
+ >> "My thought I have nobody by a beauty and will as you poured. Mr. Rochester is serve in that so don't find simpus, and devoted abode, to at might in a r—"
173
+ ```
174
+
175
+
176
+ ## Advanced Usage
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+
178
+ For more ways to use the Gradio Python Client, check out our dedicated Guide on the Python client, available here: https://www.gradio.app/getting-started-with-the-python-client/
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parrot/lib/python3.10/site-packages/numpy/random/tests/data/pcg64-testset-2.csv ADDED
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parrot/lib/python3.10/site-packages/scipy/_lib/__init__.py ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Module containing private utility functions
3
+ ===========================================
4
+
5
+ The ``scipy._lib`` namespace is empty (for now). Tests for all
6
+ utilities in submodules of ``_lib`` can be run with::
7
+
8
+ from scipy import _lib
9
+ _lib.test()
10
+
11
+ """
12
+ from scipy._lib._testutils import PytestTester
13
+ test = PytestTester(__name__)
14
+ del PytestTester
parrot/lib/python3.10/site-packages/scipy/_lib/_docscrape.py ADDED
@@ -0,0 +1,679 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Extract reference documentation from the NumPy source tree.
2
+
3
+ """
4
+ # copied from numpydoc/docscrape.py
5
+ import inspect
6
+ import textwrap
7
+ import re
8
+ import pydoc
9
+ from warnings import warn
10
+ from collections import namedtuple
11
+ from collections.abc import Callable, Mapping
12
+ import copy
13
+ import sys
14
+
15
+
16
+ def strip_blank_lines(l):
17
+ "Remove leading and trailing blank lines from a list of lines"
18
+ while l and not l[0].strip():
19
+ del l[0]
20
+ while l and not l[-1].strip():
21
+ del l[-1]
22
+ return l
23
+
24
+
25
+ class Reader:
26
+ """A line-based string reader.
27
+
28
+ """
29
+ def __init__(self, data):
30
+ """
31
+ Parameters
32
+ ----------
33
+ data : str
34
+ String with lines separated by '\\n'.
35
+
36
+ """
37
+ if isinstance(data, list):
38
+ self._str = data
39
+ else:
40
+ self._str = data.split('\n') # store string as list of lines
41
+
42
+ self.reset()
43
+
44
+ def __getitem__(self, n):
45
+ return self._str[n]
46
+
47
+ def reset(self):
48
+ self._l = 0 # current line nr
49
+
50
+ def read(self):
51
+ if not self.eof():
52
+ out = self[self._l]
53
+ self._l += 1
54
+ return out
55
+ else:
56
+ return ''
57
+
58
+ def seek_next_non_empty_line(self):
59
+ for l in self[self._l:]:
60
+ if l.strip():
61
+ break
62
+ else:
63
+ self._l += 1
64
+
65
+ def eof(self):
66
+ return self._l >= len(self._str)
67
+
68
+ def read_to_condition(self, condition_func):
69
+ start = self._l
70
+ for line in self[start:]:
71
+ if condition_func(line):
72
+ return self[start:self._l]
73
+ self._l += 1
74
+ if self.eof():
75
+ return self[start:self._l+1]
76
+ return []
77
+
78
+ def read_to_next_empty_line(self):
79
+ self.seek_next_non_empty_line()
80
+
81
+ def is_empty(line):
82
+ return not line.strip()
83
+
84
+ return self.read_to_condition(is_empty)
85
+
86
+ def read_to_next_unindented_line(self):
87
+ def is_unindented(line):
88
+ return (line.strip() and (len(line.lstrip()) == len(line)))
89
+ return self.read_to_condition(is_unindented)
90
+
91
+ def peek(self, n=0):
92
+ if self._l + n < len(self._str):
93
+ return self[self._l + n]
94
+ else:
95
+ return ''
96
+
97
+ def is_empty(self):
98
+ return not ''.join(self._str).strip()
99
+
100
+
101
+ class ParseError(Exception):
102
+ def __str__(self):
103
+ message = self.args[0]
104
+ if hasattr(self, 'docstring'):
105
+ message = f"{message} in {self.docstring!r}"
106
+ return message
107
+
108
+
109
+ Parameter = namedtuple('Parameter', ['name', 'type', 'desc'])
110
+
111
+
112
+ class NumpyDocString(Mapping):
113
+ """Parses a numpydoc string to an abstract representation
114
+
115
+ Instances define a mapping from section title to structured data.
116
+
117
+ """
118
+
119
+ sections = {
120
+ 'Signature': '',
121
+ 'Summary': [''],
122
+ 'Extended Summary': [],
123
+ 'Parameters': [],
124
+ 'Returns': [],
125
+ 'Yields': [],
126
+ 'Receives': [],
127
+ 'Raises': [],
128
+ 'Warns': [],
129
+ 'Other Parameters': [],
130
+ 'Attributes': [],
131
+ 'Methods': [],
132
+ 'See Also': [],
133
+ 'Notes': [],
134
+ 'Warnings': [],
135
+ 'References': '',
136
+ 'Examples': '',
137
+ 'index': {}
138
+ }
139
+
140
+ def __init__(self, docstring, config={}):
141
+ orig_docstring = docstring
142
+ docstring = textwrap.dedent(docstring).split('\n')
143
+
144
+ self._doc = Reader(docstring)
145
+ self._parsed_data = copy.deepcopy(self.sections)
146
+
147
+ try:
148
+ self._parse()
149
+ except ParseError as e:
150
+ e.docstring = orig_docstring
151
+ raise
152
+
153
+ def __getitem__(self, key):
154
+ return self._parsed_data[key]
155
+
156
+ def __setitem__(self, key, val):
157
+ if key not in self._parsed_data:
158
+ self._error_location("Unknown section %s" % key, error=False)
159
+ else:
160
+ self._parsed_data[key] = val
161
+
162
+ def __iter__(self):
163
+ return iter(self._parsed_data)
164
+
165
+ def __len__(self):
166
+ return len(self._parsed_data)
167
+
168
+ def _is_at_section(self):
169
+ self._doc.seek_next_non_empty_line()
170
+
171
+ if self._doc.eof():
172
+ return False
173
+
174
+ l1 = self._doc.peek().strip() # e.g. Parameters
175
+
176
+ if l1.startswith('.. index::'):
177
+ return True
178
+
179
+ l2 = self._doc.peek(1).strip() # ---------- or ==========
180
+ return l2.startswith('-'*len(l1)) or l2.startswith('='*len(l1))
181
+
182
+ def _strip(self, doc):
183
+ i = 0
184
+ j = 0
185
+ for i, line in enumerate(doc):
186
+ if line.strip():
187
+ break
188
+
189
+ for j, line in enumerate(doc[::-1]):
190
+ if line.strip():
191
+ break
192
+
193
+ return doc[i:len(doc)-j]
194
+
195
+ def _read_to_next_section(self):
196
+ section = self._doc.read_to_next_empty_line()
197
+
198
+ while not self._is_at_section() and not self._doc.eof():
199
+ if not self._doc.peek(-1).strip(): # previous line was empty
200
+ section += ['']
201
+
202
+ section += self._doc.read_to_next_empty_line()
203
+
204
+ return section
205
+
206
+ def _read_sections(self):
207
+ while not self._doc.eof():
208
+ data = self._read_to_next_section()
209
+ name = data[0].strip()
210
+
211
+ if name.startswith('..'): # index section
212
+ yield name, data[1:]
213
+ elif len(data) < 2:
214
+ yield StopIteration
215
+ else:
216
+ yield name, self._strip(data[2:])
217
+
218
+ def _parse_param_list(self, content, single_element_is_type=False):
219
+ r = Reader(content)
220
+ params = []
221
+ while not r.eof():
222
+ header = r.read().strip()
223
+ if ' : ' in header:
224
+ arg_name, arg_type = header.split(' : ')[:2]
225
+ else:
226
+ if single_element_is_type:
227
+ arg_name, arg_type = '', header
228
+ else:
229
+ arg_name, arg_type = header, ''
230
+
231
+ desc = r.read_to_next_unindented_line()
232
+ desc = dedent_lines(desc)
233
+ desc = strip_blank_lines(desc)
234
+
235
+ params.append(Parameter(arg_name, arg_type, desc))
236
+
237
+ return params
238
+
239
+ # See also supports the following formats.
240
+ #
241
+ # <FUNCNAME>
242
+ # <FUNCNAME> SPACE* COLON SPACE+ <DESC> SPACE*
243
+ # <FUNCNAME> ( COMMA SPACE+ <FUNCNAME>)+ (COMMA | PERIOD)? SPACE*
244
+ # <FUNCNAME> ( COMMA SPACE+ <FUNCNAME>)* SPACE* COLON SPACE+ <DESC> SPACE*
245
+
246
+ # <FUNCNAME> is one of
247
+ # <PLAIN_FUNCNAME>
248
+ # COLON <ROLE> COLON BACKTICK <PLAIN_FUNCNAME> BACKTICK
249
+ # where
250
+ # <PLAIN_FUNCNAME> is a legal function name, and
251
+ # <ROLE> is any nonempty sequence of word characters.
252
+ # Examples: func_f1 :meth:`func_h1` :obj:`~baz.obj_r` :class:`class_j`
253
+ # <DESC> is a string describing the function.
254
+
255
+ _role = r":(?P<role>\w+):"
256
+ _funcbacktick = r"`(?P<name>(?:~\w+\.)?[a-zA-Z0-9_\.-]+)`"
257
+ _funcplain = r"(?P<name2>[a-zA-Z0-9_\.-]+)"
258
+ _funcname = r"(" + _role + _funcbacktick + r"|" + _funcplain + r")"
259
+ _funcnamenext = _funcname.replace('role', 'rolenext')
260
+ _funcnamenext = _funcnamenext.replace('name', 'namenext')
261
+ _description = r"(?P<description>\s*:(\s+(?P<desc>\S+.*))?)?\s*$"
262
+ _func_rgx = re.compile(r"^\s*" + _funcname + r"\s*")
263
+ _line_rgx = re.compile(
264
+ r"^\s*" +
265
+ r"(?P<allfuncs>" + # group for all function names
266
+ _funcname +
267
+ r"(?P<morefuncs>([,]\s+" + _funcnamenext + r")*)" +
268
+ r")" + # end of "allfuncs"
269
+ # Some function lists have a trailing comma (or period) '\s*'
270
+ r"(?P<trailing>[,\.])?" +
271
+ _description)
272
+
273
+ # Empty <DESC> elements are replaced with '..'
274
+ empty_description = '..'
275
+
276
+ def _parse_see_also(self, content):
277
+ """
278
+ func_name : Descriptive text
279
+ continued text
280
+ another_func_name : Descriptive text
281
+ func_name1, func_name2, :meth:`func_name`, func_name3
282
+
283
+ """
284
+
285
+ items = []
286
+
287
+ def parse_item_name(text):
288
+ """Match ':role:`name`' or 'name'."""
289
+ m = self._func_rgx.match(text)
290
+ if not m:
291
+ raise ParseError("%s is not a item name" % text)
292
+ role = m.group('role')
293
+ name = m.group('name') if role else m.group('name2')
294
+ return name, role, m.end()
295
+
296
+ rest = []
297
+ for line in content:
298
+ if not line.strip():
299
+ continue
300
+
301
+ line_match = self._line_rgx.match(line)
302
+ description = None
303
+ if line_match:
304
+ description = line_match.group('desc')
305
+ if line_match.group('trailing') and description:
306
+ self._error_location(
307
+ 'Unexpected comma or period after function list at '
308
+ 'index %d of line "%s"' % (line_match.end('trailing'),
309
+ line),
310
+ error=False)
311
+ if not description and line.startswith(' '):
312
+ rest.append(line.strip())
313
+ elif line_match:
314
+ funcs = []
315
+ text = line_match.group('allfuncs')
316
+ while True:
317
+ if not text.strip():
318
+ break
319
+ name, role, match_end = parse_item_name(text)
320
+ funcs.append((name, role))
321
+ text = text[match_end:].strip()
322
+ if text and text[0] == ',':
323
+ text = text[1:].strip()
324
+ rest = list(filter(None, [description]))
325
+ items.append((funcs, rest))
326
+ else:
327
+ raise ParseError("%s is not a item name" % line)
328
+ return items
329
+
330
+ def _parse_index(self, section, content):
331
+ """
332
+ .. index:: default
333
+ :refguide: something, else, and more
334
+
335
+ """
336
+ def strip_each_in(lst):
337
+ return [s.strip() for s in lst]
338
+
339
+ out = {}
340
+ section = section.split('::')
341
+ if len(section) > 1:
342
+ out['default'] = strip_each_in(section[1].split(','))[0]
343
+ for line in content:
344
+ line = line.split(':')
345
+ if len(line) > 2:
346
+ out[line[1]] = strip_each_in(line[2].split(','))
347
+ return out
348
+
349
+ def _parse_summary(self):
350
+ """Grab signature (if given) and summary"""
351
+ if self._is_at_section():
352
+ return
353
+
354
+ # If several signatures present, take the last one
355
+ while True:
356
+ summary = self._doc.read_to_next_empty_line()
357
+ summary_str = " ".join([s.strip() for s in summary]).strip()
358
+ compiled = re.compile(r'^([\w., ]+=)?\s*[\w\.]+\(.*\)$')
359
+ if compiled.match(summary_str):
360
+ self['Signature'] = summary_str
361
+ if not self._is_at_section():
362
+ continue
363
+ break
364
+
365
+ if summary is not None:
366
+ self['Summary'] = summary
367
+
368
+ if not self._is_at_section():
369
+ self['Extended Summary'] = self._read_to_next_section()
370
+
371
+ def _parse(self):
372
+ self._doc.reset()
373
+ self._parse_summary()
374
+
375
+ sections = list(self._read_sections())
376
+ section_names = {section for section, content in sections}
377
+
378
+ has_returns = 'Returns' in section_names
379
+ has_yields = 'Yields' in section_names
380
+ # We could do more tests, but we are not. Arbitrarily.
381
+ if has_returns and has_yields:
382
+ msg = 'Docstring contains both a Returns and Yields section.'
383
+ raise ValueError(msg)
384
+ if not has_yields and 'Receives' in section_names:
385
+ msg = 'Docstring contains a Receives section but not Yields.'
386
+ raise ValueError(msg)
387
+
388
+ for (section, content) in sections:
389
+ if not section.startswith('..'):
390
+ section = (s.capitalize() for s in section.split(' '))
391
+ section = ' '.join(section)
392
+ if self.get(section):
393
+ self._error_location("The section %s appears twice"
394
+ % section)
395
+
396
+ if section in ('Parameters', 'Other Parameters', 'Attributes',
397
+ 'Methods'):
398
+ self[section] = self._parse_param_list(content)
399
+ elif section in ('Returns', 'Yields', 'Raises', 'Warns',
400
+ 'Receives'):
401
+ self[section] = self._parse_param_list(
402
+ content, single_element_is_type=True)
403
+ elif section.startswith('.. index::'):
404
+ self['index'] = self._parse_index(section, content)
405
+ elif section == 'See Also':
406
+ self['See Also'] = self._parse_see_also(content)
407
+ else:
408
+ self[section] = content
409
+
410
+ def _error_location(self, msg, error=True):
411
+ if hasattr(self, '_obj'):
412
+ # we know where the docs came from:
413
+ try:
414
+ filename = inspect.getsourcefile(self._obj)
415
+ except TypeError:
416
+ filename = None
417
+ msg = msg + (f" in the docstring of {self._obj} in {filename}.")
418
+ if error:
419
+ raise ValueError(msg)
420
+ else:
421
+ warn(msg, stacklevel=3)
422
+
423
+ # string conversion routines
424
+
425
+ def _str_header(self, name, symbol='-'):
426
+ return [name, len(name)*symbol]
427
+
428
+ def _str_indent(self, doc, indent=4):
429
+ out = []
430
+ for line in doc:
431
+ out += [' '*indent + line]
432
+ return out
433
+
434
+ def _str_signature(self):
435
+ if self['Signature']:
436
+ return [self['Signature'].replace('*', r'\*')] + ['']
437
+ else:
438
+ return ['']
439
+
440
+ def _str_summary(self):
441
+ if self['Summary']:
442
+ return self['Summary'] + ['']
443
+ else:
444
+ return []
445
+
446
+ def _str_extended_summary(self):
447
+ if self['Extended Summary']:
448
+ return self['Extended Summary'] + ['']
449
+ else:
450
+ return []
451
+
452
+ def _str_param_list(self, name):
453
+ out = []
454
+ if self[name]:
455
+ out += self._str_header(name)
456
+ for param in self[name]:
457
+ parts = []
458
+ if param.name:
459
+ parts.append(param.name)
460
+ if param.type:
461
+ parts.append(param.type)
462
+ out += [' : '.join(parts)]
463
+ if param.desc and ''.join(param.desc).strip():
464
+ out += self._str_indent(param.desc)
465
+ out += ['']
466
+ return out
467
+
468
+ def _str_section(self, name):
469
+ out = []
470
+ if self[name]:
471
+ out += self._str_header(name)
472
+ out += self[name]
473
+ out += ['']
474
+ return out
475
+
476
+ def _str_see_also(self, func_role):
477
+ if not self['See Also']:
478
+ return []
479
+ out = []
480
+ out += self._str_header("See Also")
481
+ out += ['']
482
+ last_had_desc = True
483
+ for funcs, desc in self['See Also']:
484
+ assert isinstance(funcs, list)
485
+ links = []
486
+ for func, role in funcs:
487
+ if role:
488
+ link = f':{role}:`{func}`'
489
+ elif func_role:
490
+ link = f':{func_role}:`{func}`'
491
+ else:
492
+ link = "`%s`_" % func
493
+ links.append(link)
494
+ link = ', '.join(links)
495
+ out += [link]
496
+ if desc:
497
+ out += self._str_indent([' '.join(desc)])
498
+ last_had_desc = True
499
+ else:
500
+ last_had_desc = False
501
+ out += self._str_indent([self.empty_description])
502
+
503
+ if last_had_desc:
504
+ out += ['']
505
+ out += ['']
506
+ return out
507
+
508
+ def _str_index(self):
509
+ idx = self['index']
510
+ out = []
511
+ output_index = False
512
+ default_index = idx.get('default', '')
513
+ if default_index:
514
+ output_index = True
515
+ out += ['.. index:: %s' % default_index]
516
+ for section, references in idx.items():
517
+ if section == 'default':
518
+ continue
519
+ output_index = True
520
+ out += [' :{}: {}'.format(section, ', '.join(references))]
521
+ if output_index:
522
+ return out
523
+ else:
524
+ return ''
525
+
526
+ def __str__(self, func_role=''):
527
+ out = []
528
+ out += self._str_signature()
529
+ out += self._str_summary()
530
+ out += self._str_extended_summary()
531
+ for param_list in ('Parameters', 'Returns', 'Yields', 'Receives',
532
+ 'Other Parameters', 'Raises', 'Warns'):
533
+ out += self._str_param_list(param_list)
534
+ out += self._str_section('Warnings')
535
+ out += self._str_see_also(func_role)
536
+ for s in ('Notes', 'References', 'Examples'):
537
+ out += self._str_section(s)
538
+ for param_list in ('Attributes', 'Methods'):
539
+ out += self._str_param_list(param_list)
540
+ out += self._str_index()
541
+ return '\n'.join(out)
542
+
543
+
544
+ def indent(str, indent=4):
545
+ indent_str = ' '*indent
546
+ if str is None:
547
+ return indent_str
548
+ lines = str.split('\n')
549
+ return '\n'.join(indent_str + l for l in lines)
550
+
551
+
552
+ def dedent_lines(lines):
553
+ """Deindent a list of lines maximally"""
554
+ return textwrap.dedent("\n".join(lines)).split("\n")
555
+
556
+
557
+ def header(text, style='-'):
558
+ return text + '\n' + style*len(text) + '\n'
559
+
560
+
561
+ class FunctionDoc(NumpyDocString):
562
+ def __init__(self, func, role='func', doc=None, config={}):
563
+ self._f = func
564
+ self._role = role # e.g. "func" or "meth"
565
+
566
+ if doc is None:
567
+ if func is None:
568
+ raise ValueError("No function or docstring given")
569
+ doc = inspect.getdoc(func) or ''
570
+ NumpyDocString.__init__(self, doc, config)
571
+
572
+ def get_func(self):
573
+ func_name = getattr(self._f, '__name__', self.__class__.__name__)
574
+ if inspect.isclass(self._f):
575
+ func = getattr(self._f, '__call__', self._f.__init__)
576
+ else:
577
+ func = self._f
578
+ return func, func_name
579
+
580
+ def __str__(self):
581
+ out = ''
582
+
583
+ func, func_name = self.get_func()
584
+
585
+ roles = {'func': 'function',
586
+ 'meth': 'method'}
587
+
588
+ if self._role:
589
+ if self._role not in roles:
590
+ print("Warning: invalid role %s" % self._role)
591
+ out += '.. {}:: {}\n \n\n'.format(roles.get(self._role, ''),
592
+ func_name)
593
+
594
+ out += super().__str__(func_role=self._role)
595
+ return out
596
+
597
+
598
+ class ClassDoc(NumpyDocString):
599
+
600
+ extra_public_methods = ['__call__']
601
+
602
+ def __init__(self, cls, doc=None, modulename='', func_doc=FunctionDoc,
603
+ config={}):
604
+ if not inspect.isclass(cls) and cls is not None:
605
+ raise ValueError("Expected a class or None, but got %r" % cls)
606
+ self._cls = cls
607
+
608
+ if 'sphinx' in sys.modules:
609
+ from sphinx.ext.autodoc import ALL
610
+ else:
611
+ ALL = object()
612
+
613
+ self.show_inherited_members = config.get(
614
+ 'show_inherited_class_members', True)
615
+
616
+ if modulename and not modulename.endswith('.'):
617
+ modulename += '.'
618
+ self._mod = modulename
619
+
620
+ if doc is None:
621
+ if cls is None:
622
+ raise ValueError("No class or documentation string given")
623
+ doc = pydoc.getdoc(cls)
624
+
625
+ NumpyDocString.__init__(self, doc)
626
+
627
+ _members = config.get('members', [])
628
+ if _members is ALL:
629
+ _members = None
630
+ _exclude = config.get('exclude-members', [])
631
+
632
+ if config.get('show_class_members', True) and _exclude is not ALL:
633
+ def splitlines_x(s):
634
+ if not s:
635
+ return []
636
+ else:
637
+ return s.splitlines()
638
+ for field, items in [('Methods', self.methods),
639
+ ('Attributes', self.properties)]:
640
+ if not self[field]:
641
+ doc_list = []
642
+ for name in sorted(items):
643
+ if (name in _exclude or
644
+ (_members and name not in _members)):
645
+ continue
646
+ try:
647
+ doc_item = pydoc.getdoc(getattr(self._cls, name))
648
+ doc_list.append(
649
+ Parameter(name, '', splitlines_x(doc_item)))
650
+ except AttributeError:
651
+ pass # method doesn't exist
652
+ self[field] = doc_list
653
+
654
+ @property
655
+ def methods(self):
656
+ if self._cls is None:
657
+ return []
658
+ return [name for name, func in inspect.getmembers(self._cls)
659
+ if ((not name.startswith('_')
660
+ or name in self.extra_public_methods)
661
+ and isinstance(func, Callable)
662
+ and self._is_show_member(name))]
663
+
664
+ @property
665
+ def properties(self):
666
+ if self._cls is None:
667
+ return []
668
+ return [name for name, func in inspect.getmembers(self._cls)
669
+ if (not name.startswith('_') and
670
+ (func is None or isinstance(func, property) or
671
+ inspect.isdatadescriptor(func))
672
+ and self._is_show_member(name))]
673
+
674
+ def _is_show_member(self, name):
675
+ if self.show_inherited_members:
676
+ return True # show all class members
677
+ if name not in self._cls.__dict__:
678
+ return False # class member is inherited, we do not show it
679
+ return True
parrot/lib/python3.10/site-packages/scipy/_lib/_elementwise_iterative_method.py ADDED
@@ -0,0 +1,348 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # `_elementwise_iterative_method.py` includes tools for writing functions that
2
+ # - are vectorized to work elementwise on arrays,
3
+ # - implement non-trivial, iterative algorithms with a callback interface, and
4
+ # - return rich objects with iteration count, termination status, etc.
5
+ #
6
+ # Examples include:
7
+ # `scipy.optimize._chandrupatla._chandrupatla for scalar rootfinding,
8
+ # `scipy.optimize._chandrupatla._chandrupatla_minimize for scalar minimization,
9
+ # `scipy.optimize._differentiate._differentiate for numerical differentiation,
10
+ # `scipy.optimize._bracket._bracket_root for finding rootfinding brackets,
11
+ # `scipy.optimize._bracket._bracket_minimize for finding minimization brackets,
12
+ # `scipy.integrate._tanhsinh._tanhsinh` for numerical quadrature.
13
+
14
+ import math
15
+ import numpy as np
16
+ from ._util import _RichResult, _call_callback_maybe_halt
17
+ from ._array_api import array_namespace, size as xp_size
18
+
19
+ _ESIGNERR = -1
20
+ _ECONVERR = -2
21
+ _EVALUEERR = -3
22
+ _ECALLBACK = -4
23
+ _EINPUTERR = -5
24
+ _ECONVERGED = 0
25
+ _EINPROGRESS = 1
26
+
27
+ def _initialize(func, xs, args, complex_ok=False, preserve_shape=None):
28
+ """Initialize abscissa, function, and args arrays for elementwise function
29
+
30
+ Parameters
31
+ ----------
32
+ func : callable
33
+ An elementwise function with signature
34
+
35
+ func(x: ndarray, *args) -> ndarray
36
+
37
+ where each element of ``x`` is a finite real and ``args`` is a tuple,
38
+ which may contain an arbitrary number of arrays that are broadcastable
39
+ with ``x``.
40
+ xs : tuple of arrays
41
+ Finite real abscissa arrays. Must be broadcastable.
42
+ args : tuple, optional
43
+ Additional positional arguments to be passed to `func`.
44
+ preserve_shape : bool, default:False
45
+ When ``preserve_shape=False`` (default), `func` may be passed
46
+ arguments of any shape; `_scalar_optimization_loop` is permitted
47
+ to reshape and compress arguments at will. When
48
+ ``preserve_shape=False``, arguments passed to `func` must have shape
49
+ `shape` or ``shape + (n,)``, where ``n`` is any integer.
50
+
51
+ Returns
52
+ -------
53
+ xs, fs, args : tuple of arrays
54
+ Broadcasted, writeable, 1D abscissa and function value arrays (or
55
+ NumPy floats, if appropriate). The dtypes of the `xs` and `fs` are
56
+ `xfat`; the dtype of the `args` are unchanged.
57
+ shape : tuple of ints
58
+ Original shape of broadcasted arrays.
59
+ xfat : NumPy dtype
60
+ Result dtype of abscissae, function values, and args determined using
61
+ `np.result_type`, except integer types are promoted to `np.float64`.
62
+
63
+ Raises
64
+ ------
65
+ ValueError
66
+ If the result dtype is not that of a real scalar
67
+
68
+ Notes
69
+ -----
70
+ Useful for initializing the input of SciPy functions that accept
71
+ an elementwise callable, abscissae, and arguments; e.g.
72
+ `scipy.optimize._chandrupatla`.
73
+ """
74
+ nx = len(xs)
75
+ xp = array_namespace(*xs)
76
+
77
+ # Try to preserve `dtype`, but we need to ensure that the arguments are at
78
+ # least floats before passing them into the function; integers can overflow
79
+ # and cause failure.
80
+ # There might be benefit to combining the `xs` into a single array and
81
+ # calling `func` once on the combined array. For now, keep them separate.
82
+ xas = xp.broadcast_arrays(*xs, *args) # broadcast and rename
83
+ xat = xp.result_type(*[xa.dtype for xa in xas])
84
+ xat = xp.asarray(1.).dtype if xp.isdtype(xat, "integral") else xat
85
+ xs, args = xas[:nx], xas[nx:]
86
+ xs = [xp.asarray(x, dtype=xat) for x in xs] # use copy=False when implemented
87
+ fs = [xp.asarray(func(x, *args)) for x in xs]
88
+ shape = xs[0].shape
89
+ fshape = fs[0].shape
90
+
91
+ if preserve_shape:
92
+ # bind original shape/func now to avoid late-binding gotcha
93
+ def func(x, *args, shape=shape, func=func, **kwargs):
94
+ i = (0,)*(len(fshape) - len(shape))
95
+ return func(x[i], *args, **kwargs)
96
+ shape = np.broadcast_shapes(fshape, shape) # just shapes; use of NumPy OK
97
+ xs = [xp.broadcast_to(x, shape) for x in xs]
98
+ args = [xp.broadcast_to(arg, shape) for arg in args]
99
+
100
+ message = ("The shape of the array returned by `func` must be the same as "
101
+ "the broadcasted shape of `x` and all other `args`.")
102
+ if preserve_shape is not None: # only in tanhsinh for now
103
+ message = f"When `preserve_shape=False`, {message.lower()}"
104
+ shapes_equal = [f.shape == shape for f in fs]
105
+ if not all(shapes_equal): # use Python all to reduce overhead
106
+ raise ValueError(message)
107
+
108
+ # These algorithms tend to mix the dtypes of the abscissae and function
109
+ # values, so figure out what the result will be and convert them all to
110
+ # that type from the outset.
111
+ xfat = xp.result_type(*([f.dtype for f in fs] + [xat]))
112
+ if not complex_ok and not xp.isdtype(xfat, "real floating"):
113
+ raise ValueError("Abscissae and function output must be real numbers.")
114
+ xs = [xp.asarray(x, dtype=xfat, copy=True) for x in xs]
115
+ fs = [xp.asarray(f, dtype=xfat, copy=True) for f in fs]
116
+
117
+ # To ensure that we can do indexing, we'll work with at least 1d arrays,
118
+ # but remember the appropriate shape of the output.
119
+ xs = [xp.reshape(x, (-1,)) for x in xs]
120
+ fs = [xp.reshape(f, (-1,)) for f in fs]
121
+ args = [xp.reshape(xp.asarray(arg, copy=True), (-1,)) for arg in args]
122
+ return func, xs, fs, args, shape, xfat, xp
123
+
124
+
125
+ def _loop(work, callback, shape, maxiter, func, args, dtype, pre_func_eval,
126
+ post_func_eval, check_termination, post_termination_check,
127
+ customize_result, res_work_pairs, xp, preserve_shape=False):
128
+ """Main loop of a vectorized scalar optimization algorithm
129
+
130
+ Parameters
131
+ ----------
132
+ work : _RichResult
133
+ All variables that need to be retained between iterations. Must
134
+ contain attributes `nit`, `nfev`, and `success`
135
+ callback : callable
136
+ User-specified callback function
137
+ shape : tuple of ints
138
+ The shape of all output arrays
139
+ maxiter :
140
+ Maximum number of iterations of the algorithm
141
+ func : callable
142
+ The user-specified callable that is being optimized or solved
143
+ args : tuple
144
+ Additional positional arguments to be passed to `func`.
145
+ dtype : NumPy dtype
146
+ The common dtype of all abscissae and function values
147
+ pre_func_eval : callable
148
+ A function that accepts `work` and returns `x`, the active elements
149
+ of `x` at which `func` will be evaluated. May modify attributes
150
+ of `work` with any algorithmic steps that need to happen
151
+ at the beginning of an iteration, before `func` is evaluated,
152
+ post_func_eval : callable
153
+ A function that accepts `x`, `func(x)`, and `work`. May modify
154
+ attributes of `work` with any algorithmic steps that need to happen
155
+ in the middle of an iteration, after `func` is evaluated but before
156
+ the termination check.
157
+ check_termination : callable
158
+ A function that accepts `work` and returns `stop`, a boolean array
159
+ indicating which of the active elements have met a termination
160
+ condition.
161
+ post_termination_check : callable
162
+ A function that accepts `work`. May modify `work` with any algorithmic
163
+ steps that need to happen after the termination check and before the
164
+ end of the iteration.
165
+ customize_result : callable
166
+ A function that accepts `res` and `shape` and returns `shape`. May
167
+ modify `res` (in-place) according to preferences (e.g. rearrange
168
+ elements between attributes) and modify `shape` if needed.
169
+ res_work_pairs : list of (str, str)
170
+ Identifies correspondence between attributes of `res` and attributes
171
+ of `work`; i.e., attributes of active elements of `work` will be
172
+ copied to the appropriate indices of `res` when appropriate. The order
173
+ determines the order in which _RichResult attributes will be
174
+ pretty-printed.
175
+
176
+ Returns
177
+ -------
178
+ res : _RichResult
179
+ The final result object
180
+
181
+ Notes
182
+ -----
183
+ Besides providing structure, this framework provides several important
184
+ services for a vectorized optimization algorithm.
185
+
186
+ - It handles common tasks involving iteration count, function evaluation
187
+ count, a user-specified callback, and associated termination conditions.
188
+ - It compresses the attributes of `work` to eliminate unnecessary
189
+ computation on elements that have already converged.
190
+
191
+ """
192
+ if xp is None:
193
+ raise NotImplementedError("Must provide xp.")
194
+
195
+ cb_terminate = False
196
+
197
+ # Initialize the result object and active element index array
198
+ n_elements = math.prod(shape)
199
+ active = xp.arange(n_elements) # in-progress element indices
200
+ res_dict = {i: xp.zeros(n_elements, dtype=dtype) for i, j in res_work_pairs}
201
+ res_dict['success'] = xp.zeros(n_elements, dtype=xp.bool)
202
+ res_dict['status'] = xp.full(n_elements, _EINPROGRESS, dtype=xp.int32)
203
+ res_dict['nit'] = xp.zeros(n_elements, dtype=xp.int32)
204
+ res_dict['nfev'] = xp.zeros(n_elements, dtype=xp.int32)
205
+ res = _RichResult(res_dict)
206
+ work.args = args
207
+
208
+ active = _check_termination(work, res, res_work_pairs, active,
209
+ check_termination, preserve_shape, xp)
210
+
211
+ if callback is not None:
212
+ temp = _prepare_result(work, res, res_work_pairs, active, shape,
213
+ customize_result, preserve_shape, xp)
214
+ if _call_callback_maybe_halt(callback, temp):
215
+ cb_terminate = True
216
+
217
+ while work.nit < maxiter and xp_size(active) and not cb_terminate and n_elements:
218
+ x = pre_func_eval(work)
219
+
220
+ if work.args and work.args[0].ndim != x.ndim:
221
+ # `x` always starts as 1D. If the SciPy function that uses
222
+ # _loop added dimensions to `x`, we need to
223
+ # add them to the elements of `args`.
224
+ args = []
225
+ for arg in work.args:
226
+ n_new_dims = x.ndim - arg.ndim
227
+ new_shape = arg.shape + (1,)*n_new_dims
228
+ args.append(xp.reshape(arg, new_shape))
229
+ work.args = args
230
+
231
+ x_shape = x.shape
232
+ if preserve_shape:
233
+ x = xp.reshape(x, (shape + (-1,)))
234
+ f = func(x, *work.args)
235
+ f = xp.asarray(f, dtype=dtype)
236
+ if preserve_shape:
237
+ x = xp.reshape(x, x_shape)
238
+ f = xp.reshape(f, x_shape)
239
+ work.nfev += 1 if x.ndim == 1 else x.shape[-1]
240
+
241
+ post_func_eval(x, f, work)
242
+
243
+ work.nit += 1
244
+ active = _check_termination(work, res, res_work_pairs, active,
245
+ check_termination, preserve_shape, xp)
246
+
247
+ if callback is not None:
248
+ temp = _prepare_result(work, res, res_work_pairs, active, shape,
249
+ customize_result, preserve_shape, xp)
250
+ if _call_callback_maybe_halt(callback, temp):
251
+ cb_terminate = True
252
+ break
253
+ if xp_size(active) == 0:
254
+ break
255
+
256
+ post_termination_check(work)
257
+
258
+ work.status[:] = _ECALLBACK if cb_terminate else _ECONVERR
259
+ return _prepare_result(work, res, res_work_pairs, active, shape,
260
+ customize_result, preserve_shape, xp)
261
+
262
+
263
+ def _check_termination(work, res, res_work_pairs, active, check_termination,
264
+ preserve_shape, xp):
265
+ # Checks termination conditions, updates elements of `res` with
266
+ # corresponding elements of `work`, and compresses `work`.
267
+
268
+ stop = check_termination(work)
269
+
270
+ if xp.any(stop):
271
+ # update the active elements of the result object with the active
272
+ # elements for which a termination condition has been met
273
+ _update_active(work, res, res_work_pairs, active, stop, preserve_shape, xp)
274
+
275
+ if preserve_shape:
276
+ stop = stop[active]
277
+
278
+ proceed = ~stop
279
+ active = active[proceed]
280
+
281
+ if not preserve_shape:
282
+ # compress the arrays to avoid unnecessary computation
283
+ for key, val in work.items():
284
+ # Need to find a better way than these try/excepts
285
+ # Somehow need to keep compressible numerical args separate
286
+ if key == 'args':
287
+ continue
288
+ try:
289
+ work[key] = val[proceed]
290
+ except (IndexError, TypeError, KeyError): # not a compressible array
291
+ work[key] = val
292
+ work.args = [arg[proceed] for arg in work.args]
293
+
294
+ return active
295
+
296
+
297
+ def _update_active(work, res, res_work_pairs, active, mask, preserve_shape, xp):
298
+ # Update `active` indices of the arrays in result object `res` with the
299
+ # contents of the scalars and arrays in `update_dict`. When provided,
300
+ # `mask` is a boolean array applied both to the arrays in `update_dict`
301
+ # that are to be used and to the arrays in `res` that are to be updated.
302
+ update_dict = {key1: work[key2] for key1, key2 in res_work_pairs}
303
+ update_dict['success'] = work.status == 0
304
+
305
+ if mask is not None:
306
+ if preserve_shape:
307
+ active_mask = xp.zeros_like(mask)
308
+ active_mask[active] = 1
309
+ active_mask = active_mask & mask
310
+ for key, val in update_dict.items():
311
+ try:
312
+ res[key][active_mask] = val[active_mask]
313
+ except (IndexError, TypeError, KeyError):
314
+ res[key][active_mask] = val
315
+ else:
316
+ active_mask = active[mask]
317
+ for key, val in update_dict.items():
318
+ try:
319
+ res[key][active_mask] = val[mask]
320
+ except (IndexError, TypeError, KeyError):
321
+ res[key][active_mask] = val
322
+ else:
323
+ for key, val in update_dict.items():
324
+ if preserve_shape:
325
+ try:
326
+ val = val[active]
327
+ except (IndexError, TypeError, KeyError):
328
+ pass
329
+ res[key][active] = val
330
+
331
+
332
+ def _prepare_result(work, res, res_work_pairs, active, shape, customize_result,
333
+ preserve_shape, xp):
334
+ # Prepare the result object `res` by creating a copy, copying the latest
335
+ # data from work, running the provided result customization function,
336
+ # and reshaping the data to the original shapes.
337
+ res = res.copy()
338
+ _update_active(work, res, res_work_pairs, active, None, preserve_shape, xp)
339
+
340
+ shape = customize_result(res, shape)
341
+
342
+ for key, val in res.items():
343
+ # this looks like it won't work for xp != np if val is not numeric
344
+ temp = xp.reshape(val, shape)
345
+ res[key] = temp[()] if temp.ndim == 0 else temp
346
+
347
+ res['_order_keys'] = ['success'] + [i for i, j in res_work_pairs]
348
+ return _RichResult(**res)
parrot/lib/python3.10/site-packages/scipy/_lib/_finite_differences.py ADDED
@@ -0,0 +1,145 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from numpy import arange, newaxis, hstack, prod, array
2
+
3
+
4
+ def _central_diff_weights(Np, ndiv=1):
5
+ """
6
+ Return weights for an Np-point central derivative.
7
+
8
+ Assumes equally-spaced function points.
9
+
10
+ If weights are in the vector w, then
11
+ derivative is w[0] * f(x-ho*dx) + ... + w[-1] * f(x+h0*dx)
12
+
13
+ Parameters
14
+ ----------
15
+ Np : int
16
+ Number of points for the central derivative.
17
+ ndiv : int, optional
18
+ Number of divisions. Default is 1.
19
+
20
+ Returns
21
+ -------
22
+ w : ndarray
23
+ Weights for an Np-point central derivative. Its size is `Np`.
24
+
25
+ Notes
26
+ -----
27
+ Can be inaccurate for a large number of points.
28
+
29
+ Examples
30
+ --------
31
+ We can calculate a derivative value of a function.
32
+
33
+ >>> def f(x):
34
+ ... return 2 * x**2 + 3
35
+ >>> x = 3.0 # derivative point
36
+ >>> h = 0.1 # differential step
37
+ >>> Np = 3 # point number for central derivative
38
+ >>> weights = _central_diff_weights(Np) # weights for first derivative
39
+ >>> vals = [f(x + (i - Np/2) * h) for i in range(Np)]
40
+ >>> sum(w * v for (w, v) in zip(weights, vals))/h
41
+ 11.79999999999998
42
+
43
+ This value is close to the analytical solution:
44
+ f'(x) = 4x, so f'(3) = 12
45
+
46
+ References
47
+ ----------
48
+ .. [1] https://en.wikipedia.org/wiki/Finite_difference
49
+
50
+ """
51
+ if Np < ndiv + 1:
52
+ raise ValueError(
53
+ "Number of points must be at least the derivative order + 1."
54
+ )
55
+ if Np % 2 == 0:
56
+ raise ValueError("The number of points must be odd.")
57
+ from scipy import linalg
58
+
59
+ ho = Np >> 1
60
+ x = arange(-ho, ho + 1.0)
61
+ x = x[:, newaxis]
62
+ X = x**0.0
63
+ for k in range(1, Np):
64
+ X = hstack([X, x**k])
65
+ w = prod(arange(1, ndiv + 1), axis=0) * linalg.inv(X)[ndiv]
66
+ return w
67
+
68
+
69
+ def _derivative(func, x0, dx=1.0, n=1, args=(), order=3):
70
+ """
71
+ Find the nth derivative of a function at a point.
72
+
73
+ Given a function, use a central difference formula with spacing `dx` to
74
+ compute the nth derivative at `x0`.
75
+
76
+ Parameters
77
+ ----------
78
+ func : function
79
+ Input function.
80
+ x0 : float
81
+ The point at which the nth derivative is found.
82
+ dx : float, optional
83
+ Spacing.
84
+ n : int, optional
85
+ Order of the derivative. Default is 1.
86
+ args : tuple, optional
87
+ Arguments
88
+ order : int, optional
89
+ Number of points to use, must be odd.
90
+
91
+ Notes
92
+ -----
93
+ Decreasing the step size too small can result in round-off error.
94
+
95
+ Examples
96
+ --------
97
+ >>> def f(x):
98
+ ... return x**3 + x**2
99
+ >>> _derivative(f, 1.0, dx=1e-6)
100
+ 4.9999999999217337
101
+
102
+ """
103
+ if order < n + 1:
104
+ raise ValueError(
105
+ "'order' (the number of points used to compute the derivative), "
106
+ "must be at least the derivative order 'n' + 1."
107
+ )
108
+ if order % 2 == 0:
109
+ raise ValueError(
110
+ "'order' (the number of points used to compute the derivative) "
111
+ "must be odd."
112
+ )
113
+ # pre-computed for n=1 and 2 and low-order for speed.
114
+ if n == 1:
115
+ if order == 3:
116
+ weights = array([-1, 0, 1]) / 2.0
117
+ elif order == 5:
118
+ weights = array([1, -8, 0, 8, -1]) / 12.0
119
+ elif order == 7:
120
+ weights = array([-1, 9, -45, 0, 45, -9, 1]) / 60.0
121
+ elif order == 9:
122
+ weights = array([3, -32, 168, -672, 0, 672, -168, 32, -3]) / 840.0
123
+ else:
124
+ weights = _central_diff_weights(order, 1)
125
+ elif n == 2:
126
+ if order == 3:
127
+ weights = array([1, -2.0, 1])
128
+ elif order == 5:
129
+ weights = array([-1, 16, -30, 16, -1]) / 12.0
130
+ elif order == 7:
131
+ weights = array([2, -27, 270, -490, 270, -27, 2]) / 180.0
132
+ elif order == 9:
133
+ weights = (
134
+ array([-9, 128, -1008, 8064, -14350, 8064, -1008, 128, -9])
135
+ / 5040.0
136
+ )
137
+ else:
138
+ weights = _central_diff_weights(order, 2)
139
+ else:
140
+ weights = _central_diff_weights(order, n)
141
+ val = 0.0
142
+ ho = order >> 1
143
+ for k in range(order):
144
+ val += weights[k] * func(x0 + (k - ho) * dx, *args)
145
+ return val / prod((dx,) * n, axis=0)
parrot/lib/python3.10/site-packages/scipy/_lib/_test_deprecation_def.cpython-310-x86_64-linux-gnu.so ADDED
Binary file (34.4 kB). View file
 
parrot/lib/python3.10/site-packages/scipy/_lib/_threadsafety.py ADDED
@@ -0,0 +1,58 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import threading
2
+
3
+ import scipy._lib.decorator
4
+
5
+
6
+ __all__ = ['ReentrancyError', 'ReentrancyLock', 'non_reentrant']
7
+
8
+
9
+ class ReentrancyError(RuntimeError):
10
+ pass
11
+
12
+
13
+ class ReentrancyLock:
14
+ """
15
+ Threading lock that raises an exception for reentrant calls.
16
+
17
+ Calls from different threads are serialized, and nested calls from the
18
+ same thread result to an error.
19
+
20
+ The object can be used as a context manager or to decorate functions
21
+ via the decorate() method.
22
+
23
+ """
24
+
25
+ def __init__(self, err_msg):
26
+ self._rlock = threading.RLock()
27
+ self._entered = False
28
+ self._err_msg = err_msg
29
+
30
+ def __enter__(self):
31
+ self._rlock.acquire()
32
+ if self._entered:
33
+ self._rlock.release()
34
+ raise ReentrancyError(self._err_msg)
35
+ self._entered = True
36
+
37
+ def __exit__(self, type, value, traceback):
38
+ self._entered = False
39
+ self._rlock.release()
40
+
41
+ def decorate(self, func):
42
+ def caller(func, *a, **kw):
43
+ with self:
44
+ return func(*a, **kw)
45
+ return scipy._lib.decorator.decorate(func, caller)
46
+
47
+
48
+ def non_reentrant(err_msg=None):
49
+ """
50
+ Decorate a function with a threading lock and prevent reentrant calls.
51
+ """
52
+ def decorator(func):
53
+ msg = err_msg
54
+ if msg is None:
55
+ msg = "%s is not re-entrant" % func.__name__
56
+ lock = ReentrancyLock(msg)
57
+ return lock.decorate(func)
58
+ return decorator
parrot/lib/python3.10/site-packages/scipy/_lib/deprecation.py ADDED
@@ -0,0 +1,239 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from inspect import Parameter, signature
2
+ import functools
3
+ import warnings
4
+ from importlib import import_module
5
+
6
+
7
+ __all__ = ["_deprecated"]
8
+
9
+
10
+ # Object to use as default value for arguments to be deprecated. This should
11
+ # be used over 'None' as the user could parse 'None' as a positional argument
12
+ _NoValue = object()
13
+
14
+ def _sub_module_deprecation(*, sub_package, module, private_modules, all,
15
+ attribute, correct_module=None):
16
+ """Helper function for deprecating modules that are public but were
17
+ intended to be private.
18
+
19
+ Parameters
20
+ ----------
21
+ sub_package : str
22
+ Subpackage the module belongs to eg. stats
23
+ module : str
24
+ Public but intended private module to deprecate
25
+ private_modules : list
26
+ Private replacement(s) for `module`; should contain the
27
+ content of ``all``, possibly spread over several modules.
28
+ all : list
29
+ ``__all__`` belonging to `module`
30
+ attribute : str
31
+ The attribute in `module` being accessed
32
+ correct_module : str, optional
33
+ Module in `sub_package` that `attribute` should be imported from.
34
+ Default is that `attribute` should be imported from ``scipy.sub_package``.
35
+ """
36
+ if correct_module is not None:
37
+ correct_import = f"scipy.{sub_package}.{correct_module}"
38
+ else:
39
+ correct_import = f"scipy.{sub_package}"
40
+
41
+ if attribute not in all:
42
+ raise AttributeError(
43
+ f"`scipy.{sub_package}.{module}` has no attribute `{attribute}`; "
44
+ f"furthermore, `scipy.{sub_package}.{module}` is deprecated "
45
+ f"and will be removed in SciPy 2.0.0."
46
+ )
47
+
48
+ attr = getattr(import_module(correct_import), attribute, None)
49
+
50
+ if attr is not None:
51
+ message = (
52
+ f"Please import `{attribute}` from the `{correct_import}` namespace; "
53
+ f"the `scipy.{sub_package}.{module}` namespace is deprecated "
54
+ f"and will be removed in SciPy 2.0.0."
55
+ )
56
+ else:
57
+ message = (
58
+ f"`scipy.{sub_package}.{module}.{attribute}` is deprecated along with "
59
+ f"the `scipy.{sub_package}.{module}` namespace. "
60
+ f"`scipy.{sub_package}.{module}.{attribute}` will be removed "
61
+ f"in SciPy 1.14.0, and the `scipy.{sub_package}.{module}` namespace "
62
+ f"will be removed in SciPy 2.0.0."
63
+ )
64
+
65
+ warnings.warn(message, category=DeprecationWarning, stacklevel=3)
66
+
67
+ for module in private_modules:
68
+ try:
69
+ return getattr(import_module(f"scipy.{sub_package}.{module}"), attribute)
70
+ except AttributeError as e:
71
+ # still raise an error if the attribute isn't in any of the expected
72
+ # private modules
73
+ if module == private_modules[-1]:
74
+ raise e
75
+ continue
76
+
77
+
78
+ def _deprecated(msg, stacklevel=2):
79
+ """Deprecate a function by emitting a warning on use."""
80
+ def wrap(fun):
81
+ if isinstance(fun, type):
82
+ warnings.warn(
83
+ f"Trying to deprecate class {fun!r}",
84
+ category=RuntimeWarning, stacklevel=2)
85
+ return fun
86
+
87
+ @functools.wraps(fun)
88
+ def call(*args, **kwargs):
89
+ warnings.warn(msg, category=DeprecationWarning,
90
+ stacklevel=stacklevel)
91
+ return fun(*args, **kwargs)
92
+ call.__doc__ = fun.__doc__
93
+ return call
94
+
95
+ return wrap
96
+
97
+
98
+ class _DeprecationHelperStr:
99
+ """
100
+ Helper class used by deprecate_cython_api
101
+ """
102
+ def __init__(self, content, message):
103
+ self._content = content
104
+ self._message = message
105
+
106
+ def __hash__(self):
107
+ return hash(self._content)
108
+
109
+ def __eq__(self, other):
110
+ res = (self._content == other)
111
+ if res:
112
+ warnings.warn(self._message, category=DeprecationWarning,
113
+ stacklevel=2)
114
+ return res
115
+
116
+
117
+ def deprecate_cython_api(module, routine_name, new_name=None, message=None):
118
+ """
119
+ Deprecate an exported cdef function in a public Cython API module.
120
+
121
+ Only functions can be deprecated; typedefs etc. cannot.
122
+
123
+ Parameters
124
+ ----------
125
+ module : module
126
+ Public Cython API module (e.g. scipy.linalg.cython_blas).
127
+ routine_name : str
128
+ Name of the routine to deprecate. May also be a fused-type
129
+ routine (in which case its all specializations are deprecated).
130
+ new_name : str
131
+ New name to include in the deprecation warning message
132
+ message : str
133
+ Additional text in the deprecation warning message
134
+
135
+ Examples
136
+ --------
137
+ Usually, this function would be used in the top-level of the
138
+ module ``.pyx`` file:
139
+
140
+ >>> from scipy._lib.deprecation import deprecate_cython_api
141
+ >>> import scipy.linalg.cython_blas as mod
142
+ >>> deprecate_cython_api(mod, "dgemm", "dgemm_new",
143
+ ... message="Deprecated in Scipy 1.5.0")
144
+ >>> del deprecate_cython_api, mod
145
+
146
+ After this, Cython modules that use the deprecated function emit a
147
+ deprecation warning when they are imported.
148
+
149
+ """
150
+ old_name = f"{module.__name__}.{routine_name}"
151
+
152
+ if new_name is None:
153
+ depdoc = "`%s` is deprecated!" % old_name
154
+ else:
155
+ depdoc = f"`{old_name}` is deprecated, use `{new_name}` instead!"
156
+
157
+ if message is not None:
158
+ depdoc += "\n" + message
159
+
160
+ d = module.__pyx_capi__
161
+
162
+ # Check if the function is a fused-type function with a mangled name
163
+ j = 0
164
+ has_fused = False
165
+ while True:
166
+ fused_name = f"__pyx_fuse_{j}{routine_name}"
167
+ if fused_name in d:
168
+ has_fused = True
169
+ d[_DeprecationHelperStr(fused_name, depdoc)] = d.pop(fused_name)
170
+ j += 1
171
+ else:
172
+ break
173
+
174
+ # If not, apply deprecation to the named routine
175
+ if not has_fused:
176
+ d[_DeprecationHelperStr(routine_name, depdoc)] = d.pop(routine_name)
177
+
178
+
179
+ # taken from scikit-learn, see
180
+ # https://github.com/scikit-learn/scikit-learn/blob/1.3.0/sklearn/utils/validation.py#L38
181
+ def _deprecate_positional_args(func=None, *, version=None):
182
+ """Decorator for methods that issues warnings for positional arguments.
183
+
184
+ Using the keyword-only argument syntax in pep 3102, arguments after the
185
+ * will issue a warning when passed as a positional argument.
186
+
187
+ Parameters
188
+ ----------
189
+ func : callable, default=None
190
+ Function to check arguments on.
191
+ version : callable, default=None
192
+ The version when positional arguments will result in error.
193
+ """
194
+ if version is None:
195
+ msg = "Need to specify a version where signature will be changed"
196
+ raise ValueError(msg)
197
+
198
+ def _inner_deprecate_positional_args(f):
199
+ sig = signature(f)
200
+ kwonly_args = []
201
+ all_args = []
202
+
203
+ for name, param in sig.parameters.items():
204
+ if param.kind == Parameter.POSITIONAL_OR_KEYWORD:
205
+ all_args.append(name)
206
+ elif param.kind == Parameter.KEYWORD_ONLY:
207
+ kwonly_args.append(name)
208
+
209
+ @functools.wraps(f)
210
+ def inner_f(*args, **kwargs):
211
+ extra_args = len(args) - len(all_args)
212
+ if extra_args <= 0:
213
+ return f(*args, **kwargs)
214
+
215
+ # extra_args > 0
216
+ args_msg = [
217
+ f"{name}={arg}"
218
+ for name, arg in zip(kwonly_args[:extra_args], args[-extra_args:])
219
+ ]
220
+ args_msg = ", ".join(args_msg)
221
+ warnings.warn(
222
+ (
223
+ f"You are passing {args_msg} as a positional argument. "
224
+ "Please change your invocation to use keyword arguments. "
225
+ f"From SciPy {version}, passing these as positional "
226
+ "arguments will result in an error."
227
+ ),
228
+ DeprecationWarning,
229
+ stacklevel=2,
230
+ )
231
+ kwargs.update(zip(sig.parameters, args))
232
+ return f(**kwargs)
233
+
234
+ return inner_f
235
+
236
+ if func is not None:
237
+ return _inner_deprecate_positional_args(func)
238
+
239
+ return _inner_deprecate_positional_args
parrot/lib/python3.10/site-packages/scipy/_lib/messagestream.cpython-310-x86_64-linux-gnu.so ADDED
Binary file (85.8 kB). View file
 
parrot/lib/python3.10/site-packages/scipy/constants/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (12.6 kB). View file
 
parrot/lib/python3.10/site-packages/scipy/constants/_codata.py ADDED
The diff for this file is too large to render. See raw diff
 
parrot/lib/python3.10/site-packages/scipy/constants/_constants.py ADDED
@@ -0,0 +1,368 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Collection of physical constants and conversion factors.
3
+
4
+ Most constants are in SI units, so you can do
5
+ print '10 mile per minute is', 10*mile/minute, 'm/s or', 10*mile/(minute*knot), 'knots'
6
+
7
+ The list is not meant to be comprehensive, but just convenient for everyday use.
8
+ """
9
+
10
+ from __future__ import annotations
11
+
12
+ import math as _math
13
+ from typing import TYPE_CHECKING, Any
14
+
15
+ from ._codata import value as _cd
16
+
17
+ if TYPE_CHECKING:
18
+ import numpy.typing as npt
19
+
20
+ from scipy._lib._array_api import array_namespace, _asarray
21
+
22
+
23
+ """
24
+ BasSw 2006
25
+ physical constants: imported from CODATA
26
+ unit conversion: see e.g., NIST special publication 811
27
+ Use at own risk: double-check values before calculating your Mars orbit-insertion burn.
28
+ Some constants exist in a few variants, which are marked with suffixes.
29
+ The ones without any suffix should be the most common ones.
30
+ """
31
+
32
+ __all__ = [
33
+ 'Avogadro', 'Boltzmann', 'Btu', 'Btu_IT', 'Btu_th', 'G',
34
+ 'Julian_year', 'N_A', 'Planck', 'R', 'Rydberg',
35
+ 'Stefan_Boltzmann', 'Wien', 'acre', 'alpha',
36
+ 'angstrom', 'arcmin', 'arcminute', 'arcsec',
37
+ 'arcsecond', 'astronomical_unit', 'atm',
38
+ 'atmosphere', 'atomic_mass', 'atto', 'au', 'bar',
39
+ 'barrel', 'bbl', 'blob', 'c', 'calorie',
40
+ 'calorie_IT', 'calorie_th', 'carat', 'centi',
41
+ 'convert_temperature', 'day', 'deci', 'degree',
42
+ 'degree_Fahrenheit', 'deka', 'dyn', 'dyne', 'e',
43
+ 'eV', 'electron_mass', 'electron_volt',
44
+ 'elementary_charge', 'epsilon_0', 'erg',
45
+ 'exa', 'exbi', 'femto', 'fermi', 'fine_structure',
46
+ 'fluid_ounce', 'fluid_ounce_US', 'fluid_ounce_imp',
47
+ 'foot', 'g', 'gallon', 'gallon_US', 'gallon_imp',
48
+ 'gas_constant', 'gibi', 'giga', 'golden', 'golden_ratio',
49
+ 'grain', 'gram', 'gravitational_constant', 'h', 'hbar',
50
+ 'hectare', 'hecto', 'horsepower', 'hour', 'hp',
51
+ 'inch', 'k', 'kgf', 'kibi', 'kilo', 'kilogram_force',
52
+ 'kmh', 'knot', 'lambda2nu', 'lb', 'lbf',
53
+ 'light_year', 'liter', 'litre', 'long_ton', 'm_e',
54
+ 'm_n', 'm_p', 'm_u', 'mach', 'mebi', 'mega',
55
+ 'metric_ton', 'micro', 'micron', 'mil', 'mile',
56
+ 'milli', 'minute', 'mmHg', 'mph', 'mu_0', 'nano',
57
+ 'nautical_mile', 'neutron_mass', 'nu2lambda',
58
+ 'ounce', 'oz', 'parsec', 'pebi', 'peta',
59
+ 'pi', 'pico', 'point', 'pound', 'pound_force',
60
+ 'proton_mass', 'psi', 'pt', 'quecto', 'quetta', 'ronna', 'ronto',
61
+ 'short_ton', 'sigma', 'slinch', 'slug', 'speed_of_light',
62
+ 'speed_of_sound', 'stone', 'survey_foot',
63
+ 'survey_mile', 'tebi', 'tera', 'ton_TNT',
64
+ 'torr', 'troy_ounce', 'troy_pound', 'u',
65
+ 'week', 'yard', 'year', 'yobi', 'yocto',
66
+ 'yotta', 'zebi', 'zepto', 'zero_Celsius', 'zetta'
67
+ ]
68
+
69
+
70
+ # mathematical constants
71
+ pi = _math.pi
72
+ golden = golden_ratio = (1 + _math.sqrt(5)) / 2
73
+
74
+ # SI prefixes
75
+ quetta = 1e30
76
+ ronna = 1e27
77
+ yotta = 1e24
78
+ zetta = 1e21
79
+ exa = 1e18
80
+ peta = 1e15
81
+ tera = 1e12
82
+ giga = 1e9
83
+ mega = 1e6
84
+ kilo = 1e3
85
+ hecto = 1e2
86
+ deka = 1e1
87
+ deci = 1e-1
88
+ centi = 1e-2
89
+ milli = 1e-3
90
+ micro = 1e-6
91
+ nano = 1e-9
92
+ pico = 1e-12
93
+ femto = 1e-15
94
+ atto = 1e-18
95
+ zepto = 1e-21
96
+ yocto = 1e-24
97
+ ronto = 1e-27
98
+ quecto = 1e-30
99
+
100
+ # binary prefixes
101
+ kibi = 2**10
102
+ mebi = 2**20
103
+ gibi = 2**30
104
+ tebi = 2**40
105
+ pebi = 2**50
106
+ exbi = 2**60
107
+ zebi = 2**70
108
+ yobi = 2**80
109
+
110
+ # physical constants
111
+ c = speed_of_light = _cd('speed of light in vacuum')
112
+ mu_0 = _cd('vacuum mag. permeability')
113
+ epsilon_0 = _cd('vacuum electric permittivity')
114
+ h = Planck = _cd('Planck constant')
115
+ hbar = h / (2 * pi)
116
+ G = gravitational_constant = _cd('Newtonian constant of gravitation')
117
+ g = _cd('standard acceleration of gravity')
118
+ e = elementary_charge = _cd('elementary charge')
119
+ R = gas_constant = _cd('molar gas constant')
120
+ alpha = fine_structure = _cd('fine-structure constant')
121
+ N_A = Avogadro = _cd('Avogadro constant')
122
+ k = Boltzmann = _cd('Boltzmann constant')
123
+ sigma = Stefan_Boltzmann = _cd('Stefan-Boltzmann constant')
124
+ Wien = _cd('Wien wavelength displacement law constant')
125
+ Rydberg = _cd('Rydberg constant')
126
+
127
+ # mass in kg
128
+ gram = 1e-3
129
+ metric_ton = 1e3
130
+ grain = 64.79891e-6
131
+ lb = pound = 7000 * grain # avoirdupois
132
+ blob = slinch = pound * g / 0.0254 # lbf*s**2/in (added in 1.0.0)
133
+ slug = blob / 12 # lbf*s**2/foot (added in 1.0.0)
134
+ oz = ounce = pound / 16
135
+ stone = 14 * pound
136
+ long_ton = 2240 * pound
137
+ short_ton = 2000 * pound
138
+
139
+ troy_ounce = 480 * grain # only for metals / gems
140
+ troy_pound = 12 * troy_ounce
141
+ carat = 200e-6
142
+
143
+ m_e = electron_mass = _cd('electron mass')
144
+ m_p = proton_mass = _cd('proton mass')
145
+ m_n = neutron_mass = _cd('neutron mass')
146
+ m_u = u = atomic_mass = _cd('atomic mass constant')
147
+
148
+ # angle in rad
149
+ degree = pi / 180
150
+ arcmin = arcminute = degree / 60
151
+ arcsec = arcsecond = arcmin / 60
152
+
153
+ # time in second
154
+ minute = 60.0
155
+ hour = 60 * minute
156
+ day = 24 * hour
157
+ week = 7 * day
158
+ year = 365 * day
159
+ Julian_year = 365.25 * day
160
+
161
+ # length in meter
162
+ inch = 0.0254
163
+ foot = 12 * inch
164
+ yard = 3 * foot
165
+ mile = 1760 * yard
166
+ mil = inch / 1000
167
+ pt = point = inch / 72 # typography
168
+ survey_foot = 1200.0 / 3937
169
+ survey_mile = 5280 * survey_foot
170
+ nautical_mile = 1852.0
171
+ fermi = 1e-15
172
+ angstrom = 1e-10
173
+ micron = 1e-6
174
+ au = astronomical_unit = 149597870700.0
175
+ light_year = Julian_year * c
176
+ parsec = au / arcsec
177
+
178
+ # pressure in pascal
179
+ atm = atmosphere = _cd('standard atmosphere')
180
+ bar = 1e5
181
+ torr = mmHg = atm / 760
182
+ psi = pound * g / (inch * inch)
183
+
184
+ # area in meter**2
185
+ hectare = 1e4
186
+ acre = 43560 * foot**2
187
+
188
+ # volume in meter**3
189
+ litre = liter = 1e-3
190
+ gallon = gallon_US = 231 * inch**3 # US
191
+ # pint = gallon_US / 8
192
+ fluid_ounce = fluid_ounce_US = gallon_US / 128
193
+ bbl = barrel = 42 * gallon_US # for oil
194
+
195
+ gallon_imp = 4.54609e-3 # UK
196
+ fluid_ounce_imp = gallon_imp / 160
197
+
198
+ # speed in meter per second
199
+ kmh = 1e3 / hour
200
+ mph = mile / hour
201
+ # approx value of mach at 15 degrees in 1 atm. Is this a common value?
202
+ mach = speed_of_sound = 340.5
203
+ knot = nautical_mile / hour
204
+
205
+ # temperature in kelvin
206
+ zero_Celsius = 273.15
207
+ degree_Fahrenheit = 1/1.8 # only for differences
208
+
209
+ # energy in joule
210
+ eV = electron_volt = elementary_charge # * 1 Volt
211
+ calorie = calorie_th = 4.184
212
+ calorie_IT = 4.1868
213
+ erg = 1e-7
214
+ Btu_th = pound * degree_Fahrenheit * calorie_th / gram
215
+ Btu = Btu_IT = pound * degree_Fahrenheit * calorie_IT / gram
216
+ ton_TNT = 1e9 * calorie_th
217
+ # Wh = watt_hour
218
+
219
+ # power in watt
220
+ hp = horsepower = 550 * foot * pound * g
221
+
222
+ # force in newton
223
+ dyn = dyne = 1e-5
224
+ lbf = pound_force = pound * g
225
+ kgf = kilogram_force = g # * 1 kg
226
+
227
+ # functions for conversions that are not linear
228
+
229
+
230
+ def convert_temperature(
231
+ val: npt.ArrayLike,
232
+ old_scale: str,
233
+ new_scale: str,
234
+ ) -> Any:
235
+ """
236
+ Convert from a temperature scale to another one among Celsius, Kelvin,
237
+ Fahrenheit, and Rankine scales.
238
+
239
+ Parameters
240
+ ----------
241
+ val : array_like
242
+ Value(s) of the temperature(s) to be converted expressed in the
243
+ original scale.
244
+ old_scale : str
245
+ Specifies as a string the original scale from which the temperature
246
+ value(s) will be converted. Supported scales are Celsius ('Celsius',
247
+ 'celsius', 'C' or 'c'), Kelvin ('Kelvin', 'kelvin', 'K', 'k'),
248
+ Fahrenheit ('Fahrenheit', 'fahrenheit', 'F' or 'f'), and Rankine
249
+ ('Rankine', 'rankine', 'R', 'r').
250
+ new_scale : str
251
+ Specifies as a string the new scale to which the temperature
252
+ value(s) will be converted. Supported scales are Celsius ('Celsius',
253
+ 'celsius', 'C' or 'c'), Kelvin ('Kelvin', 'kelvin', 'K', 'k'),
254
+ Fahrenheit ('Fahrenheit', 'fahrenheit', 'F' or 'f'), and Rankine
255
+ ('Rankine', 'rankine', 'R', 'r').
256
+
257
+ Returns
258
+ -------
259
+ res : float or array of floats
260
+ Value(s) of the converted temperature(s) expressed in the new scale.
261
+
262
+ Notes
263
+ -----
264
+ .. versionadded:: 0.18.0
265
+
266
+ Examples
267
+ --------
268
+ >>> from scipy.constants import convert_temperature
269
+ >>> import numpy as np
270
+ >>> convert_temperature(np.array([-40, 40]), 'Celsius', 'Kelvin')
271
+ array([ 233.15, 313.15])
272
+
273
+ """
274
+ xp = array_namespace(val)
275
+ _val = _asarray(val, xp=xp, subok=True)
276
+ # Convert from `old_scale` to Kelvin
277
+ if old_scale.lower() in ['celsius', 'c']:
278
+ tempo = _val + zero_Celsius
279
+ elif old_scale.lower() in ['kelvin', 'k']:
280
+ tempo = _val
281
+ elif old_scale.lower() in ['fahrenheit', 'f']:
282
+ tempo = (_val - 32) * 5 / 9 + zero_Celsius
283
+ elif old_scale.lower() in ['rankine', 'r']:
284
+ tempo = _val * 5 / 9
285
+ else:
286
+ raise NotImplementedError(f"{old_scale=} is unsupported: supported scales "
287
+ "are Celsius, Kelvin, Fahrenheit, and "
288
+ "Rankine")
289
+ # and from Kelvin to `new_scale`.
290
+ if new_scale.lower() in ['celsius', 'c']:
291
+ res = tempo - zero_Celsius
292
+ elif new_scale.lower() in ['kelvin', 'k']:
293
+ res = tempo
294
+ elif new_scale.lower() in ['fahrenheit', 'f']:
295
+ res = (tempo - zero_Celsius) * 9 / 5 + 32
296
+ elif new_scale.lower() in ['rankine', 'r']:
297
+ res = tempo * 9 / 5
298
+ else:
299
+ raise NotImplementedError(f"{new_scale=} is unsupported: supported "
300
+ "scales are 'Celsius', 'Kelvin', "
301
+ "'Fahrenheit', and 'Rankine'")
302
+
303
+ return res
304
+
305
+
306
+ # optics
307
+
308
+
309
+ def lambda2nu(lambda_: npt.ArrayLike) -> Any:
310
+ """
311
+ Convert wavelength to optical frequency
312
+
313
+ Parameters
314
+ ----------
315
+ lambda_ : array_like
316
+ Wavelength(s) to be converted.
317
+
318
+ Returns
319
+ -------
320
+ nu : float or array of floats
321
+ Equivalent optical frequency.
322
+
323
+ Notes
324
+ -----
325
+ Computes ``nu = c / lambda`` where c = 299792458.0, i.e., the
326
+ (vacuum) speed of light in meters/second.
327
+
328
+ Examples
329
+ --------
330
+ >>> from scipy.constants import lambda2nu, speed_of_light
331
+ >>> import numpy as np
332
+ >>> lambda2nu(np.array((1, speed_of_light)))
333
+ array([ 2.99792458e+08, 1.00000000e+00])
334
+
335
+ """
336
+ xp = array_namespace(lambda_)
337
+ return c / _asarray(lambda_, xp=xp, subok=True)
338
+
339
+
340
+ def nu2lambda(nu: npt.ArrayLike) -> Any:
341
+ """
342
+ Convert optical frequency to wavelength.
343
+
344
+ Parameters
345
+ ----------
346
+ nu : array_like
347
+ Optical frequency to be converted.
348
+
349
+ Returns
350
+ -------
351
+ lambda : float or array of floats
352
+ Equivalent wavelength(s).
353
+
354
+ Notes
355
+ -----
356
+ Computes ``lambda = c / nu`` where c = 299792458.0, i.e., the
357
+ (vacuum) speed of light in meters/second.
358
+
359
+ Examples
360
+ --------
361
+ >>> from scipy.constants import nu2lambda, speed_of_light
362
+ >>> import numpy as np
363
+ >>> nu2lambda(np.array((1, speed_of_light)))
364
+ array([ 2.99792458e+08, 1.00000000e+00])
365
+
366
+ """
367
+ xp = array_namespace(nu)
368
+ return c / _asarray(nu, xp=xp, subok=True)
parrot/lib/python3.10/site-packages/scipy/constants/codata.py ADDED
@@ -0,0 +1,21 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # This file is not meant for public use and will be removed in SciPy v2.0.0.
2
+ # Use the `scipy.constants` namespace for importing the functions
3
+ # included below.
4
+
5
+ from scipy._lib.deprecation import _sub_module_deprecation
6
+
7
+ __all__ = [ # noqa: F822
8
+ 'physical_constants', 'value', 'unit', 'precision', 'find',
9
+ 'ConstantWarning', 'k', 'c',
10
+
11
+ ]
12
+
13
+
14
+ def __dir__():
15
+ return __all__
16
+
17
+
18
+ def __getattr__(name):
19
+ return _sub_module_deprecation(sub_package="constants", module="codata",
20
+ private_modules=["_codata"], all=__all__,
21
+ attribute=name)
parrot/lib/python3.10/site-packages/scipy/constants/constants.py ADDED
@@ -0,0 +1,53 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # This file is not meant for public use and will be removed in SciPy v2.0.0.
2
+ # Use the `scipy.constants` namespace for importing the functions
3
+ # included below.
4
+
5
+ from scipy._lib.deprecation import _sub_module_deprecation
6
+
7
+
8
+ __all__ = [ # noqa: F822
9
+ 'Avogadro', 'Boltzmann', 'Btu', 'Btu_IT', 'Btu_th', 'G',
10
+ 'Julian_year', 'N_A', 'Planck', 'R', 'Rydberg',
11
+ 'Stefan_Boltzmann', 'Wien', 'acre', 'alpha',
12
+ 'angstrom', 'arcmin', 'arcminute', 'arcsec',
13
+ 'arcsecond', 'astronomical_unit', 'atm',
14
+ 'atmosphere', 'atomic_mass', 'atto', 'au', 'bar',
15
+ 'barrel', 'bbl', 'blob', 'c', 'calorie',
16
+ 'calorie_IT', 'calorie_th', 'carat', 'centi',
17
+ 'convert_temperature', 'day', 'deci', 'degree',
18
+ 'degree_Fahrenheit', 'deka', 'dyn', 'dyne', 'e',
19
+ 'eV', 'electron_mass', 'electron_volt',
20
+ 'elementary_charge', 'epsilon_0', 'erg',
21
+ 'exa', 'exbi', 'femto', 'fermi', 'fine_structure',
22
+ 'fluid_ounce', 'fluid_ounce_US', 'fluid_ounce_imp',
23
+ 'foot', 'g', 'gallon', 'gallon_US', 'gallon_imp',
24
+ 'gas_constant', 'gibi', 'giga', 'golden', 'golden_ratio',
25
+ 'grain', 'gram', 'gravitational_constant', 'h', 'hbar',
26
+ 'hectare', 'hecto', 'horsepower', 'hour', 'hp',
27
+ 'inch', 'k', 'kgf', 'kibi', 'kilo', 'kilogram_force',
28
+ 'kmh', 'knot', 'lambda2nu', 'lb', 'lbf',
29
+ 'light_year', 'liter', 'litre', 'long_ton', 'm_e',
30
+ 'm_n', 'm_p', 'm_u', 'mach', 'mebi', 'mega',
31
+ 'metric_ton', 'micro', 'micron', 'mil', 'mile',
32
+ 'milli', 'minute', 'mmHg', 'mph', 'mu_0', 'nano',
33
+ 'nautical_mile', 'neutron_mass', 'nu2lambda',
34
+ 'ounce', 'oz', 'parsec', 'pebi', 'peta',
35
+ 'pi', 'pico', 'point', 'pound', 'pound_force',
36
+ 'proton_mass', 'psi', 'pt', 'short_ton',
37
+ 'sigma', 'slinch', 'slug', 'speed_of_light',
38
+ 'speed_of_sound', 'stone', 'survey_foot',
39
+ 'survey_mile', 'tebi', 'tera', 'ton_TNT',
40
+ 'torr', 'troy_ounce', 'troy_pound', 'u',
41
+ 'week', 'yard', 'year', 'yobi', 'yocto',
42
+ 'yotta', 'zebi', 'zepto', 'zero_Celsius', 'zetta'
43
+ ]
44
+
45
+
46
+ def __dir__():
47
+ return __all__
48
+
49
+
50
+ def __getattr__(name):
51
+ return _sub_module_deprecation(sub_package="constants", module="constants",
52
+ private_modules=["_constants"], all=__all__,
53
+ attribute=name)
parrot/lib/python3.10/site-packages/scipy/constants/tests/__init__.py ADDED
File without changes
parrot/lib/python3.10/site-packages/scipy/constants/tests/__pycache__/__init__.cpython-310.pyc ADDED
Binary file (173 Bytes). View file
 
parrot/lib/python3.10/site-packages/scipy/constants/tests/__pycache__/test_codata.cpython-310.pyc ADDED
Binary file (2.25 kB). View file
 
parrot/lib/python3.10/site-packages/scipy/constants/tests/test_codata.py ADDED
@@ -0,0 +1,57 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from scipy.constants import find, value, ConstantWarning, c, speed_of_light
2
+ from numpy.testing import (assert_equal, assert_, assert_almost_equal,
3
+ suppress_warnings)
4
+ import scipy.constants._codata as _cd
5
+
6
+
7
+ def test_find():
8
+ keys = find('weak mixing', disp=False)
9
+ assert_equal(keys, ['weak mixing angle'])
10
+
11
+ keys = find('qwertyuiop', disp=False)
12
+ assert_equal(keys, [])
13
+
14
+ keys = find('natural unit', disp=False)
15
+ assert_equal(keys, sorted(['natural unit of velocity',
16
+ 'natural unit of action',
17
+ 'natural unit of action in eV s',
18
+ 'natural unit of mass',
19
+ 'natural unit of energy',
20
+ 'natural unit of energy in MeV',
21
+ 'natural unit of momentum',
22
+ 'natural unit of momentum in MeV/c',
23
+ 'natural unit of length',
24
+ 'natural unit of time']))
25
+
26
+
27
+ def test_basic_table_parse():
28
+ c_s = 'speed of light in vacuum'
29
+ assert_equal(value(c_s), c)
30
+ assert_equal(value(c_s), speed_of_light)
31
+
32
+
33
+ def test_basic_lookup():
34
+ assert_equal('%d %s' % (_cd.c, _cd.unit('speed of light in vacuum')),
35
+ '299792458 m s^-1')
36
+
37
+
38
+ def test_find_all():
39
+ assert_(len(find(disp=False)) > 300)
40
+
41
+
42
+ def test_find_single():
43
+ assert_equal(find('Wien freq', disp=False)[0],
44
+ 'Wien frequency displacement law constant')
45
+
46
+
47
+ def test_2002_vs_2006():
48
+ assert_almost_equal(value('magn. flux quantum'),
49
+ value('mag. flux quantum'))
50
+
51
+
52
+ def test_exact_values():
53
+ # Check that updating stored values with exact ones worked.
54
+ with suppress_warnings() as sup:
55
+ sup.filter(ConstantWarning)
56
+ for key in _cd.exact_values:
57
+ assert_((_cd.exact_values[key][0] - value(key)) / value(key) == 0)
parrot/lib/python3.10/site-packages/scipy/constants/tests/test_constants.py ADDED
@@ -0,0 +1,89 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import scipy.constants as sc
4
+ from scipy.conftest import array_api_compatible
5
+ from scipy._lib._array_api import xp_assert_equal, xp_assert_close
6
+
7
+
8
+ pytestmark = [array_api_compatible, pytest.mark.usefixtures("skip_xp_backends")]
9
+ skip_xp_backends = pytest.mark.skip_xp_backends
10
+
11
+
12
+ class TestConvertTemperature:
13
+ def test_convert_temperature(self, xp):
14
+ xp_assert_equal(sc.convert_temperature(xp.asarray(32.), 'f', 'Celsius'),
15
+ xp.asarray(0.0))
16
+ xp_assert_equal(sc.convert_temperature(xp.asarray([0., 0.]),
17
+ 'celsius', 'Kelvin'),
18
+ xp.asarray([273.15, 273.15]))
19
+ xp_assert_equal(sc.convert_temperature(xp.asarray([0., 0.]), 'kelvin', 'c'),
20
+ xp.asarray([-273.15, -273.15]))
21
+ xp_assert_equal(sc.convert_temperature(xp.asarray([32., 32.]), 'f', 'k'),
22
+ xp.asarray([273.15, 273.15]))
23
+ xp_assert_equal(sc.convert_temperature(xp.asarray([273.15, 273.15]),
24
+ 'kelvin', 'F'),
25
+ xp.asarray([32., 32.]))
26
+ xp_assert_equal(sc.convert_temperature(xp.asarray([0., 0.]), 'C', 'fahrenheit'),
27
+ xp.asarray([32., 32.]))
28
+ xp_assert_close(sc.convert_temperature(xp.asarray([0., 0.], dtype=xp.float64),
29
+ 'c', 'r'),
30
+ xp.asarray([491.67, 491.67], dtype=xp.float64),
31
+ rtol=0., atol=1e-13)
32
+ xp_assert_close(sc.convert_temperature(xp.asarray([491.67, 491.67],
33
+ dtype=xp.float64),
34
+ 'Rankine', 'C'),
35
+ xp.asarray([0., 0.], dtype=xp.float64), rtol=0., atol=1e-13)
36
+ xp_assert_close(sc.convert_temperature(xp.asarray([491.67, 491.67],
37
+ dtype=xp.float64),
38
+ 'r', 'F'),
39
+ xp.asarray([32., 32.], dtype=xp.float64), rtol=0., atol=1e-13)
40
+ xp_assert_close(sc.convert_temperature(xp.asarray([32., 32.], dtype=xp.float64),
41
+ 'fahrenheit', 'R'),
42
+ xp.asarray([491.67, 491.67], dtype=xp.float64),
43
+ rtol=0., atol=1e-13)
44
+ xp_assert_close(sc.convert_temperature(xp.asarray([273.15, 273.15],
45
+ dtype=xp.float64),
46
+ 'K', 'R'),
47
+ xp.asarray([491.67, 491.67], dtype=xp.float64),
48
+ rtol=0., atol=1e-13)
49
+ xp_assert_close(sc.convert_temperature(xp.asarray([491.67, 0.],
50
+ dtype=xp.float64),
51
+ 'rankine', 'kelvin'),
52
+ xp.asarray([273.15, 0.], dtype=xp.float64), rtol=0., atol=1e-13)
53
+
54
+ @skip_xp_backends(np_only=True, reasons=['Python list input uses NumPy backend'])
55
+ def test_convert_temperature_array_like(self):
56
+ xp_assert_close(sc.convert_temperature([491.67, 0.], 'rankine', 'kelvin'),
57
+ [273.15, 0.], rtol=0., atol=1e-13)
58
+
59
+
60
+ @skip_xp_backends(np_only=True, reasons=['Python int input uses NumPy backend'])
61
+ def test_convert_temperature_errors(self, xp):
62
+ with pytest.raises(NotImplementedError, match="old_scale="):
63
+ sc.convert_temperature(1, old_scale="cheddar", new_scale="kelvin")
64
+ with pytest.raises(NotImplementedError, match="new_scale="):
65
+ sc.convert_temperature(1, old_scale="kelvin", new_scale="brie")
66
+
67
+
68
+ class TestLambdaToNu:
69
+ def test_lambda_to_nu(self, xp):
70
+ xp_assert_equal(sc.lambda2nu(xp.asarray([sc.speed_of_light, 1])),
71
+ xp.asarray([1, sc.speed_of_light]))
72
+
73
+
74
+ @skip_xp_backends(np_only=True, reasons=['Python list input uses NumPy backend'])
75
+ def test_lambda_to_nu_array_like(self, xp):
76
+ xp_assert_equal(sc.lambda2nu([sc.speed_of_light, 1]),
77
+ [1, sc.speed_of_light])
78
+
79
+
80
+ class TestNuToLambda:
81
+ def test_nu_to_lambda(self, xp):
82
+ xp_assert_equal(sc.nu2lambda(xp.asarray([sc.speed_of_light, 1])),
83
+ xp.asarray([1, sc.speed_of_light]))
84
+
85
+ @skip_xp_backends(np_only=True, reasons=['Python list input uses NumPy backend'])
86
+ def test_nu_to_lambda_array_like(self, xp):
87
+ xp_assert_equal(sc.nu2lambda([sc.speed_of_light, 1]),
88
+ [1, sc.speed_of_light])
89
+
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1
+ """
2
+ Discrete Fourier Transforms - _basic.py
3
+ """
4
+ # Created by Pearu Peterson, August,September 2002
5
+ __all__ = ['fft','ifft','fftn','ifftn','rfft','irfft',
6
+ 'fft2','ifft2']
7
+
8
+ from scipy.fft import _pocketfft
9
+ from ._helper import _good_shape
10
+
11
+
12
+ def fft(x, n=None, axis=-1, overwrite_x=False):
13
+ """
14
+ Return discrete Fourier transform of real or complex sequence.
15
+
16
+ The returned complex array contains ``y(0), y(1),..., y(n-1)``, where
17
+
18
+ ``y(j) = (x * exp(-2*pi*sqrt(-1)*j*np.arange(n)/n)).sum()``.
19
+
20
+ Parameters
21
+ ----------
22
+ x : array_like
23
+ Array to Fourier transform.
24
+ n : int, optional
25
+ Length of the Fourier transform. If ``n < x.shape[axis]``, `x` is
26
+ truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The
27
+ default results in ``n = x.shape[axis]``.
28
+ axis : int, optional
29
+ Axis along which the fft's are computed; the default is over the
30
+ last axis (i.e., ``axis=-1``).
31
+ overwrite_x : bool, optional
32
+ If True, the contents of `x` can be destroyed; the default is False.
33
+
34
+ Returns
35
+ -------
36
+ z : complex ndarray
37
+ with the elements::
38
+
39
+ [y(0),y(1),..,y(n/2),y(1-n/2),...,y(-1)] if n is even
40
+ [y(0),y(1),..,y((n-1)/2),y(-(n-1)/2),...,y(-1)] if n is odd
41
+
42
+ where::
43
+
44
+ y(j) = sum[k=0..n-1] x[k] * exp(-sqrt(-1)*j*k* 2*pi/n), j = 0..n-1
45
+
46
+ See Also
47
+ --------
48
+ ifft : Inverse FFT
49
+ rfft : FFT of a real sequence
50
+
51
+ Notes
52
+ -----
53
+ The packing of the result is "standard": If ``A = fft(a, n)``, then
54
+ ``A[0]`` contains the zero-frequency term, ``A[1:n/2]`` contains the
55
+ positive-frequency terms, and ``A[n/2:]`` contains the negative-frequency
56
+ terms, in order of decreasingly negative frequency. So ,for an 8-point
57
+ transform, the frequencies of the result are [0, 1, 2, 3, -4, -3, -2, -1].
58
+ To rearrange the fft output so that the zero-frequency component is
59
+ centered, like [-4, -3, -2, -1, 0, 1, 2, 3], use `fftshift`.
60
+
61
+ Both single and double precision routines are implemented. Half precision
62
+ inputs will be converted to single precision. Non-floating-point inputs
63
+ will be converted to double precision. Long-double precision inputs are
64
+ not supported.
65
+
66
+ This function is most efficient when `n` is a power of two, and least
67
+ efficient when `n` is prime.
68
+
69
+ Note that if ``x`` is real-valued, then ``A[j] == A[n-j].conjugate()``.
70
+ If ``x`` is real-valued and ``n`` is even, then ``A[n/2]`` is real.
71
+
72
+ If the data type of `x` is real, a "real FFT" algorithm is automatically
73
+ used, which roughly halves the computation time. To increase efficiency
74
+ a little further, use `rfft`, which does the same calculation, but only
75
+ outputs half of the symmetrical spectrum. If the data is both real and
76
+ symmetrical, the `dct` can again double the efficiency by generating
77
+ half of the spectrum from half of the signal.
78
+
79
+ Examples
80
+ --------
81
+ >>> import numpy as np
82
+ >>> from scipy.fftpack import fft, ifft
83
+ >>> x = np.arange(5)
84
+ >>> np.allclose(fft(ifft(x)), x, atol=1e-15) # within numerical accuracy.
85
+ True
86
+
87
+ """
88
+ return _pocketfft.fft(x, n, axis, None, overwrite_x)
89
+
90
+
91
+ def ifft(x, n=None, axis=-1, overwrite_x=False):
92
+ """
93
+ Return discrete inverse Fourier transform of real or complex sequence.
94
+
95
+ The returned complex array contains ``y(0), y(1),..., y(n-1)``, where
96
+
97
+ ``y(j) = (x * exp(2*pi*sqrt(-1)*j*np.arange(n)/n)).mean()``.
98
+
99
+ Parameters
100
+ ----------
101
+ x : array_like
102
+ Transformed data to invert.
103
+ n : int, optional
104
+ Length of the inverse Fourier transform. If ``n < x.shape[axis]``,
105
+ `x` is truncated. If ``n > x.shape[axis]``, `x` is zero-padded.
106
+ The default results in ``n = x.shape[axis]``.
107
+ axis : int, optional
108
+ Axis along which the ifft's are computed; the default is over the
109
+ last axis (i.e., ``axis=-1``).
110
+ overwrite_x : bool, optional
111
+ If True, the contents of `x` can be destroyed; the default is False.
112
+
113
+ Returns
114
+ -------
115
+ ifft : ndarray of floats
116
+ The inverse discrete Fourier transform.
117
+
118
+ See Also
119
+ --------
120
+ fft : Forward FFT
121
+
122
+ Notes
123
+ -----
124
+ Both single and double precision routines are implemented. Half precision
125
+ inputs will be converted to single precision. Non-floating-point inputs
126
+ will be converted to double precision. Long-double precision inputs are
127
+ not supported.
128
+
129
+ This function is most efficient when `n` is a power of two, and least
130
+ efficient when `n` is prime.
131
+
132
+ If the data type of `x` is real, a "real IFFT" algorithm is automatically
133
+ used, which roughly halves the computation time.
134
+
135
+ Examples
136
+ --------
137
+ >>> from scipy.fftpack import fft, ifft
138
+ >>> import numpy as np
139
+ >>> x = np.arange(5)
140
+ >>> np.allclose(ifft(fft(x)), x, atol=1e-15) # within numerical accuracy.
141
+ True
142
+
143
+ """
144
+ return _pocketfft.ifft(x, n, axis, None, overwrite_x)
145
+
146
+
147
+ def rfft(x, n=None, axis=-1, overwrite_x=False):
148
+ """
149
+ Discrete Fourier transform of a real sequence.
150
+
151
+ Parameters
152
+ ----------
153
+ x : array_like, real-valued
154
+ The data to transform.
155
+ n : int, optional
156
+ Defines the length of the Fourier transform. If `n` is not specified
157
+ (the default) then ``n = x.shape[axis]``. If ``n < x.shape[axis]``,
158
+ `x` is truncated, if ``n > x.shape[axis]``, `x` is zero-padded.
159
+ axis : int, optional
160
+ The axis along which the transform is applied. The default is the
161
+ last axis.
162
+ overwrite_x : bool, optional
163
+ If set to true, the contents of `x` can be overwritten. Default is
164
+ False.
165
+
166
+ Returns
167
+ -------
168
+ z : real ndarray
169
+ The returned real array contains::
170
+
171
+ [y(0),Re(y(1)),Im(y(1)),...,Re(y(n/2))] if n is even
172
+ [y(0),Re(y(1)),Im(y(1)),...,Re(y(n/2)),Im(y(n/2))] if n is odd
173
+
174
+ where::
175
+
176
+ y(j) = sum[k=0..n-1] x[k] * exp(-sqrt(-1)*j*k*2*pi/n)
177
+ j = 0..n-1
178
+
179
+ See Also
180
+ --------
181
+ fft, irfft, scipy.fft.rfft
182
+
183
+ Notes
184
+ -----
185
+ Within numerical accuracy, ``y == rfft(irfft(y))``.
186
+
187
+ Both single and double precision routines are implemented. Half precision
188
+ inputs will be converted to single precision. Non-floating-point inputs
189
+ will be converted to double precision. Long-double precision inputs are
190
+ not supported.
191
+
192
+ To get an output with a complex datatype, consider using the newer
193
+ function `scipy.fft.rfft`.
194
+
195
+ Examples
196
+ --------
197
+ >>> from scipy.fftpack import fft, rfft
198
+ >>> a = [9, -9, 1, 3]
199
+ >>> fft(a)
200
+ array([ 4. +0.j, 8.+12.j, 16. +0.j, 8.-12.j])
201
+ >>> rfft(a)
202
+ array([ 4., 8., 12., 16.])
203
+
204
+ """
205
+ return _pocketfft.rfft_fftpack(x, n, axis, None, overwrite_x)
206
+
207
+
208
+ def irfft(x, n=None, axis=-1, overwrite_x=False):
209
+ """
210
+ Return inverse discrete Fourier transform of real sequence x.
211
+
212
+ The contents of `x` are interpreted as the output of the `rfft`
213
+ function.
214
+
215
+ Parameters
216
+ ----------
217
+ x : array_like
218
+ Transformed data to invert.
219
+ n : int, optional
220
+ Length of the inverse Fourier transform.
221
+ If n < x.shape[axis], x is truncated.
222
+ If n > x.shape[axis], x is zero-padded.
223
+ The default results in n = x.shape[axis].
224
+ axis : int, optional
225
+ Axis along which the ifft's are computed; the default is over
226
+ the last axis (i.e., axis=-1).
227
+ overwrite_x : bool, optional
228
+ If True, the contents of `x` can be destroyed; the default is False.
229
+
230
+ Returns
231
+ -------
232
+ irfft : ndarray of floats
233
+ The inverse discrete Fourier transform.
234
+
235
+ See Also
236
+ --------
237
+ rfft, ifft, scipy.fft.irfft
238
+
239
+ Notes
240
+ -----
241
+ The returned real array contains::
242
+
243
+ [y(0),y(1),...,y(n-1)]
244
+
245
+ where for n is even::
246
+
247
+ y(j) = 1/n (sum[k=1..n/2-1] (x[2*k-1]+sqrt(-1)*x[2*k])
248
+ * exp(sqrt(-1)*j*k* 2*pi/n)
249
+ + c.c. + x[0] + (-1)**(j) x[n-1])
250
+
251
+ and for n is odd::
252
+
253
+ y(j) = 1/n (sum[k=1..(n-1)/2] (x[2*k-1]+sqrt(-1)*x[2*k])
254
+ * exp(sqrt(-1)*j*k* 2*pi/n)
255
+ + c.c. + x[0])
256
+
257
+ c.c. denotes complex conjugate of preceding expression.
258
+
259
+ For details on input parameters, see `rfft`.
260
+
261
+ To process (conjugate-symmetric) frequency-domain data with a complex
262
+ datatype, consider using the newer function `scipy.fft.irfft`.
263
+
264
+ Examples
265
+ --------
266
+ >>> from scipy.fftpack import rfft, irfft
267
+ >>> a = [1.0, 2.0, 3.0, 4.0, 5.0]
268
+ >>> irfft(a)
269
+ array([ 2.6 , -3.16405192, 1.24398433, -1.14955713, 1.46962473])
270
+ >>> irfft(rfft(a))
271
+ array([1., 2., 3., 4., 5.])
272
+
273
+ """
274
+ return _pocketfft.irfft_fftpack(x, n, axis, None, overwrite_x)
275
+
276
+
277
+ def fftn(x, shape=None, axes=None, overwrite_x=False):
278
+ """
279
+ Return multidimensional discrete Fourier transform.
280
+
281
+ The returned array contains::
282
+
283
+ y[j_1,..,j_d] = sum[k_1=0..n_1-1, ..., k_d=0..n_d-1]
284
+ x[k_1,..,k_d] * prod[i=1..d] exp(-sqrt(-1)*2*pi/n_i * j_i * k_i)
285
+
286
+ where d = len(x.shape) and n = x.shape.
287
+
288
+ Parameters
289
+ ----------
290
+ x : array_like
291
+ The (N-D) array to transform.
292
+ shape : int or array_like of ints or None, optional
293
+ The shape of the result. If both `shape` and `axes` (see below) are
294
+ None, `shape` is ``x.shape``; if `shape` is None but `axes` is
295
+ not None, then `shape` is ``numpy.take(x.shape, axes, axis=0)``.
296
+ If ``shape[i] > x.shape[i]``, the ith dimension is padded with zeros.
297
+ If ``shape[i] < x.shape[i]``, the ith dimension is truncated to
298
+ length ``shape[i]``.
299
+ If any element of `shape` is -1, the size of the corresponding
300
+ dimension of `x` is used.
301
+ axes : int or array_like of ints or None, optional
302
+ The axes of `x` (`y` if `shape` is not None) along which the
303
+ transform is applied.
304
+ The default is over all axes.
305
+ overwrite_x : bool, optional
306
+ If True, the contents of `x` can be destroyed. Default is False.
307
+
308
+ Returns
309
+ -------
310
+ y : complex-valued N-D NumPy array
311
+ The (N-D) DFT of the input array.
312
+
313
+ See Also
314
+ --------
315
+ ifftn
316
+
317
+ Notes
318
+ -----
319
+ If ``x`` is real-valued, then
320
+ ``y[..., j_i, ...] == y[..., n_i-j_i, ...].conjugate()``.
321
+
322
+ Both single and double precision routines are implemented. Half precision
323
+ inputs will be converted to single precision. Non-floating-point inputs
324
+ will be converted to double precision. Long-double precision inputs are
325
+ not supported.
326
+
327
+ Examples
328
+ --------
329
+ >>> import numpy as np
330
+ >>> from scipy.fftpack import fftn, ifftn
331
+ >>> y = (-np.arange(16), 8 - np.arange(16), np.arange(16))
332
+ >>> np.allclose(y, fftn(ifftn(y)))
333
+ True
334
+
335
+ """
336
+ shape = _good_shape(x, shape, axes)
337
+ return _pocketfft.fftn(x, shape, axes, None, overwrite_x)
338
+
339
+
340
+ def ifftn(x, shape=None, axes=None, overwrite_x=False):
341
+ """
342
+ Return inverse multidimensional discrete Fourier transform.
343
+
344
+ The sequence can be of an arbitrary type.
345
+
346
+ The returned array contains::
347
+
348
+ y[j_1,..,j_d] = 1/p * sum[k_1=0..n_1-1, ..., k_d=0..n_d-1]
349
+ x[k_1,..,k_d] * prod[i=1..d] exp(sqrt(-1)*2*pi/n_i * j_i * k_i)
350
+
351
+ where ``d = len(x.shape)``, ``n = x.shape``, and ``p = prod[i=1..d] n_i``.
352
+
353
+ For description of parameters see `fftn`.
354
+
355
+ See Also
356
+ --------
357
+ fftn : for detailed information.
358
+
359
+ Examples
360
+ --------
361
+ >>> from scipy.fftpack import fftn, ifftn
362
+ >>> import numpy as np
363
+ >>> y = (-np.arange(16), 8 - np.arange(16), np.arange(16))
364
+ >>> np.allclose(y, ifftn(fftn(y)))
365
+ True
366
+
367
+ """
368
+ shape = _good_shape(x, shape, axes)
369
+ return _pocketfft.ifftn(x, shape, axes, None, overwrite_x)
370
+
371
+
372
+ def fft2(x, shape=None, axes=(-2,-1), overwrite_x=False):
373
+ """
374
+ 2-D discrete Fourier transform.
375
+
376
+ Return the 2-D discrete Fourier transform of the 2-D argument
377
+ `x`.
378
+
379
+ See Also
380
+ --------
381
+ fftn : for detailed information.
382
+
383
+ Examples
384
+ --------
385
+ >>> import numpy as np
386
+ >>> from scipy.fftpack import fft2, ifft2
387
+ >>> y = np.mgrid[:5, :5][0]
388
+ >>> y
389
+ array([[0, 0, 0, 0, 0],
390
+ [1, 1, 1, 1, 1],
391
+ [2, 2, 2, 2, 2],
392
+ [3, 3, 3, 3, 3],
393
+ [4, 4, 4, 4, 4]])
394
+ >>> np.allclose(y, ifft2(fft2(y)))
395
+ True
396
+ """
397
+ return fftn(x,shape,axes,overwrite_x)
398
+
399
+
400
+ def ifft2(x, shape=None, axes=(-2,-1), overwrite_x=False):
401
+ """
402
+ 2-D discrete inverse Fourier transform of real or complex sequence.
403
+
404
+ Return inverse 2-D discrete Fourier transform of
405
+ arbitrary type sequence x.
406
+
407
+ See `ifft` for more information.
408
+
409
+ See Also
410
+ --------
411
+ fft2, ifft
412
+
413
+ Examples
414
+ --------
415
+ >>> import numpy as np
416
+ >>> from scipy.fftpack import fft2, ifft2
417
+ >>> y = np.mgrid[:5, :5][0]
418
+ >>> y
419
+ array([[0, 0, 0, 0, 0],
420
+ [1, 1, 1, 1, 1],
421
+ [2, 2, 2, 2, 2],
422
+ [3, 3, 3, 3, 3],
423
+ [4, 4, 4, 4, 4]])
424
+ >>> np.allclose(y, fft2(ifft2(y)))
425
+ True
426
+
427
+ """
428
+ return ifftn(x,shape,axes,overwrite_x)
parrot/lib/python3.10/site-packages/scipy/fftpack/_helper.py ADDED
@@ -0,0 +1,115 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import operator
2
+
3
+ import numpy as np
4
+ from numpy.fft import fftshift, ifftshift, fftfreq
5
+
6
+ import scipy.fft._pocketfft.helper as _helper
7
+
8
+ __all__ = ['fftshift', 'ifftshift', 'fftfreq', 'rfftfreq', 'next_fast_len']
9
+
10
+
11
+ def rfftfreq(n, d=1.0):
12
+ """DFT sample frequencies (for usage with rfft, irfft).
13
+
14
+ The returned float array contains the frequency bins in
15
+ cycles/unit (with zero at the start) given a window length `n` and a
16
+ sample spacing `d`::
17
+
18
+ f = [0,1,1,2,2,...,n/2-1,n/2-1,n/2]/(d*n) if n is even
19
+ f = [0,1,1,2,2,...,n/2-1,n/2-1,n/2,n/2]/(d*n) if n is odd
20
+
21
+ Parameters
22
+ ----------
23
+ n : int
24
+ Window length.
25
+ d : scalar, optional
26
+ Sample spacing. Default is 1.
27
+
28
+ Returns
29
+ -------
30
+ out : ndarray
31
+ The array of length `n`, containing the sample frequencies.
32
+
33
+ Examples
34
+ --------
35
+ >>> import numpy as np
36
+ >>> from scipy import fftpack
37
+ >>> sig = np.array([-2, 8, 6, 4, 1, 0, 3, 5], dtype=float)
38
+ >>> sig_fft = fftpack.rfft(sig)
39
+ >>> n = sig_fft.size
40
+ >>> timestep = 0.1
41
+ >>> freq = fftpack.rfftfreq(n, d=timestep)
42
+ >>> freq
43
+ array([ 0. , 1.25, 1.25, 2.5 , 2.5 , 3.75, 3.75, 5. ])
44
+
45
+ """
46
+ n = operator.index(n)
47
+ if n < 0:
48
+ raise ValueError("n = %s is not valid. "
49
+ "n must be a nonnegative integer." % n)
50
+
51
+ return (np.arange(1, n + 1, dtype=int) // 2) / float(n * d)
52
+
53
+
54
+ def next_fast_len(target):
55
+ """
56
+ Find the next fast size of input data to `fft`, for zero-padding, etc.
57
+
58
+ SciPy's FFTPACK has efficient functions for radix {2, 3, 4, 5}, so this
59
+ returns the next composite of the prime factors 2, 3, and 5 which is
60
+ greater than or equal to `target`. (These are also known as 5-smooth
61
+ numbers, regular numbers, or Hamming numbers.)
62
+
63
+ Parameters
64
+ ----------
65
+ target : int
66
+ Length to start searching from. Must be a positive integer.
67
+
68
+ Returns
69
+ -------
70
+ out : int
71
+ The first 5-smooth number greater than or equal to `target`.
72
+
73
+ Notes
74
+ -----
75
+ .. versionadded:: 0.18.0
76
+
77
+ Examples
78
+ --------
79
+ On a particular machine, an FFT of prime length takes 133 ms:
80
+
81
+ >>> from scipy import fftpack
82
+ >>> import numpy as np
83
+ >>> rng = np.random.default_rng()
84
+ >>> min_len = 10007 # prime length is worst case for speed
85
+ >>> a = rng.standard_normal(min_len)
86
+ >>> b = fftpack.fft(a)
87
+
88
+ Zero-padding to the next 5-smooth length reduces computation time to
89
+ 211 us, a speedup of 630 times:
90
+
91
+ >>> fftpack.next_fast_len(min_len)
92
+ 10125
93
+ >>> b = fftpack.fft(a, 10125)
94
+
95
+ Rounding up to the next power of 2 is not optimal, taking 367 us to
96
+ compute, 1.7 times as long as the 5-smooth size:
97
+
98
+ >>> b = fftpack.fft(a, 16384)
99
+
100
+ """
101
+ # Real transforms use regular sizes so this is backwards compatible
102
+ return _helper.good_size(target, True)
103
+
104
+
105
+ def _good_shape(x, shape, axes):
106
+ """Ensure that shape argument is valid for scipy.fftpack
107
+
108
+ scipy.fftpack does not support len(shape) < x.ndim when axes is not given.
109
+ """
110
+ if shape is not None and axes is None:
111
+ shape = _helper._iterable_of_int(shape, 'shape')
112
+ if len(shape) != np.ndim(x):
113
+ raise ValueError("when given, axes and shape arguments"
114
+ " have to be of the same length")
115
+ return shape
parrot/lib/python3.10/site-packages/scipy/fftpack/_realtransforms.py ADDED
@@ -0,0 +1,598 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Real spectrum transforms (DCT, DST, MDCT)
3
+ """
4
+
5
+ __all__ = ['dct', 'idct', 'dst', 'idst', 'dctn', 'idctn', 'dstn', 'idstn']
6
+
7
+ from scipy.fft import _pocketfft
8
+ from ._helper import _good_shape
9
+
10
+ _inverse_typemap = {1: 1, 2: 3, 3: 2, 4: 4}
11
+
12
+
13
+ def dctn(x, type=2, shape=None, axes=None, norm=None, overwrite_x=False):
14
+ """
15
+ Return multidimensional Discrete Cosine Transform along the specified axes.
16
+
17
+ Parameters
18
+ ----------
19
+ x : array_like
20
+ The input array.
21
+ type : {1, 2, 3, 4}, optional
22
+ Type of the DCT (see Notes). Default type is 2.
23
+ shape : int or array_like of ints or None, optional
24
+ The shape of the result. If both `shape` and `axes` (see below) are
25
+ None, `shape` is ``x.shape``; if `shape` is None but `axes` is
26
+ not None, then `shape` is ``numpy.take(x.shape, axes, axis=0)``.
27
+ If ``shape[i] > x.shape[i]``, the ith dimension is padded with zeros.
28
+ If ``shape[i] < x.shape[i]``, the ith dimension is truncated to
29
+ length ``shape[i]``.
30
+ If any element of `shape` is -1, the size of the corresponding
31
+ dimension of `x` is used.
32
+ axes : int or array_like of ints or None, optional
33
+ Axes along which the DCT is computed.
34
+ The default is over all axes.
35
+ norm : {None, 'ortho'}, optional
36
+ Normalization mode (see Notes). Default is None.
37
+ overwrite_x : bool, optional
38
+ If True, the contents of `x` can be destroyed; the default is False.
39
+
40
+ Returns
41
+ -------
42
+ y : ndarray of real
43
+ The transformed input array.
44
+
45
+ See Also
46
+ --------
47
+ idctn : Inverse multidimensional DCT
48
+
49
+ Notes
50
+ -----
51
+ For full details of the DCT types and normalization modes, as well as
52
+ references, see `dct`.
53
+
54
+ Examples
55
+ --------
56
+ >>> import numpy as np
57
+ >>> from scipy.fftpack import dctn, idctn
58
+ >>> rng = np.random.default_rng()
59
+ >>> y = rng.standard_normal((16, 16))
60
+ >>> np.allclose(y, idctn(dctn(y, norm='ortho'), norm='ortho'))
61
+ True
62
+
63
+ """
64
+ shape = _good_shape(x, shape, axes)
65
+ return _pocketfft.dctn(x, type, shape, axes, norm, overwrite_x)
66
+
67
+
68
+ def idctn(x, type=2, shape=None, axes=None, norm=None, overwrite_x=False):
69
+ """
70
+ Return multidimensional Discrete Cosine Transform along the specified axes.
71
+
72
+ Parameters
73
+ ----------
74
+ x : array_like
75
+ The input array.
76
+ type : {1, 2, 3, 4}, optional
77
+ Type of the DCT (see Notes). Default type is 2.
78
+ shape : int or array_like of ints or None, optional
79
+ The shape of the result. If both `shape` and `axes` (see below) are
80
+ None, `shape` is ``x.shape``; if `shape` is None but `axes` is
81
+ not None, then `shape` is ``numpy.take(x.shape, axes, axis=0)``.
82
+ If ``shape[i] > x.shape[i]``, the ith dimension is padded with zeros.
83
+ If ``shape[i] < x.shape[i]``, the ith dimension is truncated to
84
+ length ``shape[i]``.
85
+ If any element of `shape` is -1, the size of the corresponding
86
+ dimension of `x` is used.
87
+ axes : int or array_like of ints or None, optional
88
+ Axes along which the IDCT is computed.
89
+ The default is over all axes.
90
+ norm : {None, 'ortho'}, optional
91
+ Normalization mode (see Notes). Default is None.
92
+ overwrite_x : bool, optional
93
+ If True, the contents of `x` can be destroyed; the default is False.
94
+
95
+ Returns
96
+ -------
97
+ y : ndarray of real
98
+ The transformed input array.
99
+
100
+ See Also
101
+ --------
102
+ dctn : multidimensional DCT
103
+
104
+ Notes
105
+ -----
106
+ For full details of the IDCT types and normalization modes, as well as
107
+ references, see `idct`.
108
+
109
+ Examples
110
+ --------
111
+ >>> import numpy as np
112
+ >>> from scipy.fftpack import dctn, idctn
113
+ >>> rng = np.random.default_rng()
114
+ >>> y = rng.standard_normal((16, 16))
115
+ >>> np.allclose(y, idctn(dctn(y, norm='ortho'), norm='ortho'))
116
+ True
117
+
118
+ """
119
+ type = _inverse_typemap[type]
120
+ shape = _good_shape(x, shape, axes)
121
+ return _pocketfft.dctn(x, type, shape, axes, norm, overwrite_x)
122
+
123
+
124
+ def dstn(x, type=2, shape=None, axes=None, norm=None, overwrite_x=False):
125
+ """
126
+ Return multidimensional Discrete Sine Transform along the specified axes.
127
+
128
+ Parameters
129
+ ----------
130
+ x : array_like
131
+ The input array.
132
+ type : {1, 2, 3, 4}, optional
133
+ Type of the DST (see Notes). Default type is 2.
134
+ shape : int or array_like of ints or None, optional
135
+ The shape of the result. If both `shape` and `axes` (see below) are
136
+ None, `shape` is ``x.shape``; if `shape` is None but `axes` is
137
+ not None, then `shape` is ``numpy.take(x.shape, axes, axis=0)``.
138
+ If ``shape[i] > x.shape[i]``, the ith dimension is padded with zeros.
139
+ If ``shape[i] < x.shape[i]``, the ith dimension is truncated to
140
+ length ``shape[i]``.
141
+ If any element of `shape` is -1, the size of the corresponding
142
+ dimension of `x` is used.
143
+ axes : int or array_like of ints or None, optional
144
+ Axes along which the DCT is computed.
145
+ The default is over all axes.
146
+ norm : {None, 'ortho'}, optional
147
+ Normalization mode (see Notes). Default is None.
148
+ overwrite_x : bool, optional
149
+ If True, the contents of `x` can be destroyed; the default is False.
150
+
151
+ Returns
152
+ -------
153
+ y : ndarray of real
154
+ The transformed input array.
155
+
156
+ See Also
157
+ --------
158
+ idstn : Inverse multidimensional DST
159
+
160
+ Notes
161
+ -----
162
+ For full details of the DST types and normalization modes, as well as
163
+ references, see `dst`.
164
+
165
+ Examples
166
+ --------
167
+ >>> import numpy as np
168
+ >>> from scipy.fftpack import dstn, idstn
169
+ >>> rng = np.random.default_rng()
170
+ >>> y = rng.standard_normal((16, 16))
171
+ >>> np.allclose(y, idstn(dstn(y, norm='ortho'), norm='ortho'))
172
+ True
173
+
174
+ """
175
+ shape = _good_shape(x, shape, axes)
176
+ return _pocketfft.dstn(x, type, shape, axes, norm, overwrite_x)
177
+
178
+
179
+ def idstn(x, type=2, shape=None, axes=None, norm=None, overwrite_x=False):
180
+ """
181
+ Return multidimensional Discrete Sine Transform along the specified axes.
182
+
183
+ Parameters
184
+ ----------
185
+ x : array_like
186
+ The input array.
187
+ type : {1, 2, 3, 4}, optional
188
+ Type of the DST (see Notes). Default type is 2.
189
+ shape : int or array_like of ints or None, optional
190
+ The shape of the result. If both `shape` and `axes` (see below) are
191
+ None, `shape` is ``x.shape``; if `shape` is None but `axes` is
192
+ not None, then `shape` is ``numpy.take(x.shape, axes, axis=0)``.
193
+ If ``shape[i] > x.shape[i]``, the ith dimension is padded with zeros.
194
+ If ``shape[i] < x.shape[i]``, the ith dimension is truncated to
195
+ length ``shape[i]``.
196
+ If any element of `shape` is -1, the size of the corresponding
197
+ dimension of `x` is used.
198
+ axes : int or array_like of ints or None, optional
199
+ Axes along which the IDST is computed.
200
+ The default is over all axes.
201
+ norm : {None, 'ortho'}, optional
202
+ Normalization mode (see Notes). Default is None.
203
+ overwrite_x : bool, optional
204
+ If True, the contents of `x` can be destroyed; the default is False.
205
+
206
+ Returns
207
+ -------
208
+ y : ndarray of real
209
+ The transformed input array.
210
+
211
+ See Also
212
+ --------
213
+ dstn : multidimensional DST
214
+
215
+ Notes
216
+ -----
217
+ For full details of the IDST types and normalization modes, as well as
218
+ references, see `idst`.
219
+
220
+ Examples
221
+ --------
222
+ >>> import numpy as np
223
+ >>> from scipy.fftpack import dstn, idstn
224
+ >>> rng = np.random.default_rng()
225
+ >>> y = rng.standard_normal((16, 16))
226
+ >>> np.allclose(y, idstn(dstn(y, norm='ortho'), norm='ortho'))
227
+ True
228
+
229
+ """
230
+ type = _inverse_typemap[type]
231
+ shape = _good_shape(x, shape, axes)
232
+ return _pocketfft.dstn(x, type, shape, axes, norm, overwrite_x)
233
+
234
+
235
+ def dct(x, type=2, n=None, axis=-1, norm=None, overwrite_x=False):
236
+ r"""
237
+ Return the Discrete Cosine Transform of arbitrary type sequence x.
238
+
239
+ Parameters
240
+ ----------
241
+ x : array_like
242
+ The input array.
243
+ type : {1, 2, 3, 4}, optional
244
+ Type of the DCT (see Notes). Default type is 2.
245
+ n : int, optional
246
+ Length of the transform. If ``n < x.shape[axis]``, `x` is
247
+ truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The
248
+ default results in ``n = x.shape[axis]``.
249
+ axis : int, optional
250
+ Axis along which the dct is computed; the default is over the
251
+ last axis (i.e., ``axis=-1``).
252
+ norm : {None, 'ortho'}, optional
253
+ Normalization mode (see Notes). Default is None.
254
+ overwrite_x : bool, optional
255
+ If True, the contents of `x` can be destroyed; the default is False.
256
+
257
+ Returns
258
+ -------
259
+ y : ndarray of real
260
+ The transformed input array.
261
+
262
+ See Also
263
+ --------
264
+ idct : Inverse DCT
265
+
266
+ Notes
267
+ -----
268
+ For a single dimension array ``x``, ``dct(x, norm='ortho')`` is equal to
269
+ MATLAB ``dct(x)``.
270
+
271
+ There are, theoretically, 8 types of the DCT, only the first 4 types are
272
+ implemented in scipy. 'The' DCT generally refers to DCT type 2, and 'the'
273
+ Inverse DCT generally refers to DCT type 3.
274
+
275
+ **Type I**
276
+
277
+ There are several definitions of the DCT-I; we use the following
278
+ (for ``norm=None``)
279
+
280
+ .. math::
281
+
282
+ y_k = x_0 + (-1)^k x_{N-1} + 2 \sum_{n=1}^{N-2} x_n \cos\left(
283
+ \frac{\pi k n}{N-1} \right)
284
+
285
+ If ``norm='ortho'``, ``x[0]`` and ``x[N-1]`` are multiplied by a scaling
286
+ factor of :math:`\sqrt{2}`, and ``y[k]`` is multiplied by a scaling factor
287
+ ``f``
288
+
289
+ .. math::
290
+
291
+ f = \begin{cases}
292
+ \frac{1}{2}\sqrt{\frac{1}{N-1}} & \text{if }k=0\text{ or }N-1, \\
293
+ \frac{1}{2}\sqrt{\frac{2}{N-1}} & \text{otherwise} \end{cases}
294
+
295
+ .. versionadded:: 1.2.0
296
+ Orthonormalization in DCT-I.
297
+
298
+ .. note::
299
+ The DCT-I is only supported for input size > 1.
300
+
301
+ **Type II**
302
+
303
+ There are several definitions of the DCT-II; we use the following
304
+ (for ``norm=None``)
305
+
306
+ .. math::
307
+
308
+ y_k = 2 \sum_{n=0}^{N-1} x_n \cos\left(\frac{\pi k(2n+1)}{2N} \right)
309
+
310
+ If ``norm='ortho'``, ``y[k]`` is multiplied by a scaling factor ``f``
311
+
312
+ .. math::
313
+ f = \begin{cases}
314
+ \sqrt{\frac{1}{4N}} & \text{if }k=0, \\
315
+ \sqrt{\frac{1}{2N}} & \text{otherwise} \end{cases}
316
+
317
+ which makes the corresponding matrix of coefficients orthonormal
318
+ (``O @ O.T = np.eye(N)``).
319
+
320
+ **Type III**
321
+
322
+ There are several definitions, we use the following (for ``norm=None``)
323
+
324
+ .. math::
325
+
326
+ y_k = x_0 + 2 \sum_{n=1}^{N-1} x_n \cos\left(\frac{\pi(2k+1)n}{2N}\right)
327
+
328
+ or, for ``norm='ortho'``
329
+
330
+ .. math::
331
+
332
+ y_k = \frac{x_0}{\sqrt{N}} + \sqrt{\frac{2}{N}} \sum_{n=1}^{N-1} x_n
333
+ \cos\left(\frac{\pi(2k+1)n}{2N}\right)
334
+
335
+ The (unnormalized) DCT-III is the inverse of the (unnormalized) DCT-II, up
336
+ to a factor `2N`. The orthonormalized DCT-III is exactly the inverse of
337
+ the orthonormalized DCT-II.
338
+
339
+ **Type IV**
340
+
341
+ There are several definitions of the DCT-IV; we use the following
342
+ (for ``norm=None``)
343
+
344
+ .. math::
345
+
346
+ y_k = 2 \sum_{n=0}^{N-1} x_n \cos\left(\frac{\pi(2k+1)(2n+1)}{4N} \right)
347
+
348
+ If ``norm='ortho'``, ``y[k]`` is multiplied by a scaling factor ``f``
349
+
350
+ .. math::
351
+
352
+ f = \frac{1}{\sqrt{2N}}
353
+
354
+ .. versionadded:: 1.2.0
355
+ Support for DCT-IV.
356
+
357
+ References
358
+ ----------
359
+ .. [1] 'A Fast Cosine Transform in One and Two Dimensions', by J.
360
+ Makhoul, `IEEE Transactions on acoustics, speech and signal
361
+ processing` vol. 28(1), pp. 27-34,
362
+ :doi:`10.1109/TASSP.1980.1163351` (1980).
363
+ .. [2] Wikipedia, "Discrete cosine transform",
364
+ https://en.wikipedia.org/wiki/Discrete_cosine_transform
365
+
366
+ Examples
367
+ --------
368
+ The Type 1 DCT is equivalent to the FFT (though faster) for real,
369
+ even-symmetrical inputs. The output is also real and even-symmetrical.
370
+ Half of the FFT input is used to generate half of the FFT output:
371
+
372
+ >>> from scipy.fftpack import fft, dct
373
+ >>> import numpy as np
374
+ >>> fft(np.array([4., 3., 5., 10., 5., 3.])).real
375
+ array([ 30., -8., 6., -2., 6., -8.])
376
+ >>> dct(np.array([4., 3., 5., 10.]), 1)
377
+ array([ 30., -8., 6., -2.])
378
+
379
+ """
380
+ return _pocketfft.dct(x, type, n, axis, norm, overwrite_x)
381
+
382
+
383
+ def idct(x, type=2, n=None, axis=-1, norm=None, overwrite_x=False):
384
+ """
385
+ Return the Inverse Discrete Cosine Transform of an arbitrary type sequence.
386
+
387
+ Parameters
388
+ ----------
389
+ x : array_like
390
+ The input array.
391
+ type : {1, 2, 3, 4}, optional
392
+ Type of the DCT (see Notes). Default type is 2.
393
+ n : int, optional
394
+ Length of the transform. If ``n < x.shape[axis]``, `x` is
395
+ truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The
396
+ default results in ``n = x.shape[axis]``.
397
+ axis : int, optional
398
+ Axis along which the idct is computed; the default is over the
399
+ last axis (i.e., ``axis=-1``).
400
+ norm : {None, 'ortho'}, optional
401
+ Normalization mode (see Notes). Default is None.
402
+ overwrite_x : bool, optional
403
+ If True, the contents of `x` can be destroyed; the default is False.
404
+
405
+ Returns
406
+ -------
407
+ idct : ndarray of real
408
+ The transformed input array.
409
+
410
+ See Also
411
+ --------
412
+ dct : Forward DCT
413
+
414
+ Notes
415
+ -----
416
+ For a single dimension array `x`, ``idct(x, norm='ortho')`` is equal to
417
+ MATLAB ``idct(x)``.
418
+
419
+ 'The' IDCT is the IDCT of type 2, which is the same as DCT of type 3.
420
+
421
+ IDCT of type 1 is the DCT of type 1, IDCT of type 2 is the DCT of type
422
+ 3, and IDCT of type 3 is the DCT of type 2. IDCT of type 4 is the DCT
423
+ of type 4. For the definition of these types, see `dct`.
424
+
425
+ Examples
426
+ --------
427
+ The Type 1 DCT is equivalent to the DFT for real, even-symmetrical
428
+ inputs. The output is also real and even-symmetrical. Half of the IFFT
429
+ input is used to generate half of the IFFT output:
430
+
431
+ >>> from scipy.fftpack import ifft, idct
432
+ >>> import numpy as np
433
+ >>> ifft(np.array([ 30., -8., 6., -2., 6., -8.])).real
434
+ array([ 4., 3., 5., 10., 5., 3.])
435
+ >>> idct(np.array([ 30., -8., 6., -2.]), 1) / 6
436
+ array([ 4., 3., 5., 10.])
437
+
438
+ """
439
+ type = _inverse_typemap[type]
440
+ return _pocketfft.dct(x, type, n, axis, norm, overwrite_x)
441
+
442
+
443
+ def dst(x, type=2, n=None, axis=-1, norm=None, overwrite_x=False):
444
+ r"""
445
+ Return the Discrete Sine Transform of arbitrary type sequence x.
446
+
447
+ Parameters
448
+ ----------
449
+ x : array_like
450
+ The input array.
451
+ type : {1, 2, 3, 4}, optional
452
+ Type of the DST (see Notes). Default type is 2.
453
+ n : int, optional
454
+ Length of the transform. If ``n < x.shape[axis]``, `x` is
455
+ truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The
456
+ default results in ``n = x.shape[axis]``.
457
+ axis : int, optional
458
+ Axis along which the dst is computed; the default is over the
459
+ last axis (i.e., ``axis=-1``).
460
+ norm : {None, 'ortho'}, optional
461
+ Normalization mode (see Notes). Default is None.
462
+ overwrite_x : bool, optional
463
+ If True, the contents of `x` can be destroyed; the default is False.
464
+
465
+ Returns
466
+ -------
467
+ dst : ndarray of reals
468
+ The transformed input array.
469
+
470
+ See Also
471
+ --------
472
+ idst : Inverse DST
473
+
474
+ Notes
475
+ -----
476
+ For a single dimension array ``x``.
477
+
478
+ There are, theoretically, 8 types of the DST for different combinations of
479
+ even/odd boundary conditions and boundary off sets [1]_, only the first
480
+ 4 types are implemented in scipy.
481
+
482
+ **Type I**
483
+
484
+ There are several definitions of the DST-I; we use the following
485
+ for ``norm=None``. DST-I assumes the input is odd around `n=-1` and `n=N`.
486
+
487
+ .. math::
488
+
489
+ y_k = 2 \sum_{n=0}^{N-1} x_n \sin\left(\frac{\pi(k+1)(n+1)}{N+1}\right)
490
+
491
+ Note that the DST-I is only supported for input size > 1.
492
+ The (unnormalized) DST-I is its own inverse, up to a factor `2(N+1)`.
493
+ The orthonormalized DST-I is exactly its own inverse.
494
+
495
+ **Type II**
496
+
497
+ There are several definitions of the DST-II; we use the following for
498
+ ``norm=None``. DST-II assumes the input is odd around `n=-1/2` and
499
+ `n=N-1/2`; the output is odd around :math:`k=-1` and even around `k=N-1`
500
+
501
+ .. math::
502
+
503
+ y_k = 2 \sum_{n=0}^{N-1} x_n \sin\left(\frac{\pi(k+1)(2n+1)}{2N}\right)
504
+
505
+ if ``norm='ortho'``, ``y[k]`` is multiplied by a scaling factor ``f``
506
+
507
+ .. math::
508
+
509
+ f = \begin{cases}
510
+ \sqrt{\frac{1}{4N}} & \text{if }k = 0, \\
511
+ \sqrt{\frac{1}{2N}} & \text{otherwise} \end{cases}
512
+
513
+ **Type III**
514
+
515
+ There are several definitions of the DST-III, we use the following (for
516
+ ``norm=None``). DST-III assumes the input is odd around `n=-1` and even
517
+ around `n=N-1`
518
+
519
+ .. math::
520
+
521
+ y_k = (-1)^k x_{N-1} + 2 \sum_{n=0}^{N-2} x_n \sin\left(
522
+ \frac{\pi(2k+1)(n+1)}{2N}\right)
523
+
524
+ The (unnormalized) DST-III is the inverse of the (unnormalized) DST-II, up
525
+ to a factor `2N`. The orthonormalized DST-III is exactly the inverse of the
526
+ orthonormalized DST-II.
527
+
528
+ .. versionadded:: 0.11.0
529
+
530
+ **Type IV**
531
+
532
+ There are several definitions of the DST-IV, we use the following (for
533
+ ``norm=None``). DST-IV assumes the input is odd around `n=-0.5` and even
534
+ around `n=N-0.5`
535
+
536
+ .. math::
537
+
538
+ y_k = 2 \sum_{n=0}^{N-1} x_n \sin\left(\frac{\pi(2k+1)(2n+1)}{4N}\right)
539
+
540
+ The (unnormalized) DST-IV is its own inverse, up to a factor `2N`. The
541
+ orthonormalized DST-IV is exactly its own inverse.
542
+
543
+ .. versionadded:: 1.2.0
544
+ Support for DST-IV.
545
+
546
+ References
547
+ ----------
548
+ .. [1] Wikipedia, "Discrete sine transform",
549
+ https://en.wikipedia.org/wiki/Discrete_sine_transform
550
+
551
+ """
552
+ return _pocketfft.dst(x, type, n, axis, norm, overwrite_x)
553
+
554
+
555
+ def idst(x, type=2, n=None, axis=-1, norm=None, overwrite_x=False):
556
+ """
557
+ Return the Inverse Discrete Sine Transform of an arbitrary type sequence.
558
+
559
+ Parameters
560
+ ----------
561
+ x : array_like
562
+ The input array.
563
+ type : {1, 2, 3, 4}, optional
564
+ Type of the DST (see Notes). Default type is 2.
565
+ n : int, optional
566
+ Length of the transform. If ``n < x.shape[axis]``, `x` is
567
+ truncated. If ``n > x.shape[axis]``, `x` is zero-padded. The
568
+ default results in ``n = x.shape[axis]``.
569
+ axis : int, optional
570
+ Axis along which the idst is computed; the default is over the
571
+ last axis (i.e., ``axis=-1``).
572
+ norm : {None, 'ortho'}, optional
573
+ Normalization mode (see Notes). Default is None.
574
+ overwrite_x : bool, optional
575
+ If True, the contents of `x` can be destroyed; the default is False.
576
+
577
+ Returns
578
+ -------
579
+ idst : ndarray of real
580
+ The transformed input array.
581
+
582
+ See Also
583
+ --------
584
+ dst : Forward DST
585
+
586
+ Notes
587
+ -----
588
+ 'The' IDST is the IDST of type 2, which is the same as DST of type 3.
589
+
590
+ IDST of type 1 is the DST of type 1, IDST of type 2 is the DST of type
591
+ 3, and IDST of type 3 is the DST of type 2. For the definition of these
592
+ types, see `dst`.
593
+
594
+ .. versionadded:: 0.11.0
595
+
596
+ """
597
+ type = _inverse_typemap[type]
598
+ return _pocketfft.dst(x, type, n, axis, norm, overwrite_x)
videollama2/lib/python3.10/site-packages/torch/include/ATen/ops/_to_sparse_semi_structured.h ADDED
@@ -0,0 +1,30 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #pragma once
2
+
3
+ // @generated by torchgen/gen.py from Function.h
4
+
5
+ #include <ATen/Context.h>
6
+ #include <ATen/DeviceGuard.h>
7
+ #include <ATen/TensorUtils.h>
8
+ #include <ATen/TracerMode.h>
9
+ #include <ATen/core/Generator.h>
10
+ #include <ATen/core/Reduction.h>
11
+ #include <ATen/core/Tensor.h>
12
+ #include <c10/core/Scalar.h>
13
+ #include <c10/core/Storage.h>
14
+ #include <c10/core/TensorOptions.h>
15
+ #include <c10/util/Deprecated.h>
16
+ #include <c10/util/Optional.h>
17
+
18
+
19
+
20
+ #include <ATen/ops/_to_sparse_semi_structured_ops.h>
21
+
22
+ namespace at {
23
+
24
+
25
+ // aten::_to_sparse_semi_structured(Tensor dense) -> (Tensor, Tensor)
26
+ inline ::std::tuple<at::Tensor,at::Tensor> _to_sparse_semi_structured(const at::Tensor & dense) {
27
+ return at::_ops::_to_sparse_semi_structured::call(dense);
28
+ }
29
+
30
+ }
videollama2/lib/python3.10/site-packages/torch/include/ATen/ops/col2im_ops.h ADDED
@@ -0,0 +1,39 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #pragma once
2
+
3
+ // @generated by torchgen/gen.py from Operator.h
4
+
5
+ #include <tuple>
6
+ #include <vector>
7
+
8
+ // Forward declarations of any types needed in the operator signatures.
9
+ // We can't directly include these classes because it will cause circular include dependencies.
10
+ // This file is included by TensorBody.h, which defines the Tensor class.
11
+ #include <ATen/core/ATen_fwd.h>
12
+
13
+ namespace at {
14
+ namespace _ops {
15
+
16
+
17
+ struct TORCH_API col2im_out {
18
+ using schema = at::Tensor & (const at::Tensor &, c10::SymIntArrayRef, at::IntArrayRef, at::IntArrayRef, at::IntArrayRef, at::IntArrayRef, at::Tensor &);
19
+ using ptr_schema = schema*;
20
+ // See Note [static constexpr char* members for windows NVCC]
21
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(name, "aten::col2im")
22
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(overload_name, "out")
23
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(schema_str, "col2im.out(Tensor self, SymInt[2] output_size, int[2] kernel_size, int[2] dilation, int[2] padding, int[2] stride, *, Tensor(a!) out) -> Tensor(a!)")
24
+ static at::Tensor & call(const at::Tensor & self, c10::SymIntArrayRef output_size, at::IntArrayRef kernel_size, at::IntArrayRef dilation, at::IntArrayRef padding, at::IntArrayRef stride, at::Tensor & out);
25
+ static at::Tensor & redispatch(c10::DispatchKeySet dispatchKeySet, const at::Tensor & self, c10::SymIntArrayRef output_size, at::IntArrayRef kernel_size, at::IntArrayRef dilation, at::IntArrayRef padding, at::IntArrayRef stride, at::Tensor & out);
26
+ };
27
+
28
+ struct TORCH_API col2im {
29
+ using schema = at::Tensor (const at::Tensor &, c10::SymIntArrayRef, at::IntArrayRef, at::IntArrayRef, at::IntArrayRef, at::IntArrayRef);
30
+ using ptr_schema = schema*;
31
+ // See Note [static constexpr char* members for windows NVCC]
32
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(name, "aten::col2im")
33
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(overload_name, "")
34
+ STATIC_CONSTEXPR_STR_INL_EXCEPT_WIN_CUDA(schema_str, "col2im(Tensor self, SymInt[2] output_size, int[2] kernel_size, int[2] dilation, int[2] padding, int[2] stride) -> Tensor")
35
+ static at::Tensor call(const at::Tensor & self, c10::SymIntArrayRef output_size, at::IntArrayRef kernel_size, at::IntArrayRef dilation, at::IntArrayRef padding, at::IntArrayRef stride);
36
+ static at::Tensor redispatch(c10::DispatchKeySet dispatchKeySet, const at::Tensor & self, c10::SymIntArrayRef output_size, at::IntArrayRef kernel_size, at::IntArrayRef dilation, at::IntArrayRef padding, at::IntArrayRef stride);
37
+ };
38
+
39
+ }} // namespace at::_ops
videollama2/lib/python3.10/site-packages/torch/include/ATen/ops/logaddexp_native.h ADDED
@@ -0,0 +1,23 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #pragma once
2
+
3
+ // @generated by torchgen/gen.py from NativeFunction.h
4
+
5
+ #include <c10/core/Scalar.h>
6
+ #include <c10/core/Storage.h>
7
+ #include <c10/core/TensorOptions.h>
8
+ #include <c10/util/Deprecated.h>
9
+ #include <c10/util/Optional.h>
10
+ #include <c10/core/QScheme.h>
11
+ #include <ATen/core/Reduction.h>
12
+ #include <ATen/core/Tensor.h>
13
+ #include <tuple>
14
+ #include <vector>
15
+ #include <ATen/ops/logaddexp_meta.h>
16
+
17
+ namespace at {
18
+ namespace native {
19
+ struct TORCH_API structured_logaddexp_out : public at::meta::structured_logaddexp {
20
+ void impl(const at::Tensor & self, const at::Tensor & other, const at::Tensor & out);
21
+ };
22
+ } // namespace native
23
+ } // namespace at
videollama2/lib/python3.10/site-packages/torch/include/ATen/ops/view_meta_dispatch.h ADDED
@@ -0,0 +1,24 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #pragma once
2
+ // @generated by torchgen/gen.py from DispatchKeyFunction.h
3
+
4
+ // NB: The implementing C++ file is RegisterDispatchKey.cpp
5
+
6
+ // The only #includes we need are for custom classes that have defaults in the C++ API
7
+ #include <c10/core/MemoryFormat.h>
8
+ #include <c10/core/Scalar.h>
9
+ #include <ATen/core/Reduction.h>
10
+
11
+ // Forward declarations of any types needed in the operator signatures.
12
+ // We can't directly include these classes because it will cause circular include dependencies.
13
+ // This file is included by TensorBody.h, which defines the Tensor class.
14
+ #include <ATen/core/ATen_fwd.h>
15
+
16
+ namespace at {
17
+
18
+ namespace meta {
19
+
20
+ TORCH_API at::Tensor view(const at::Tensor & self, at::IntArrayRef size);
21
+ TORCH_API at::Tensor view_symint(const at::Tensor & self, c10::SymIntArrayRef size);
22
+
23
+ } // namespace meta
24
+ } // namespace at
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