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Merge pull request #3 from CSNWEB/main
Add type information and docstrings for IDEs
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# This file is automatically generated by pyo3_stub_gen | ||
# ruff: noqa: E501, F401 | ||
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import typing | ||
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def find_subgraphs( | ||
inputs: typing.Sequence[typing.Sequence[str]], | ||
output: typing.Sequence[str], | ||
size_dict: typing.Mapping[str, float], | ||
) -> list[list[int]]: | ||
r""" | ||
Find all disconnected subgraphs of a specified contraction. | ||
""" | ||
... | ||
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||
def optimize_greedy( | ||
inputs: typing.Sequence[typing.Sequence[str]], | ||
output: typing.Sequence[str], | ||
size_dict: typing.Mapping[str, float], | ||
costmod: typing.Optional[float] = None, | ||
temperature: typing.Optional[float] = None, | ||
seed: typing.Optional[int] = None, | ||
simplify: typing.Optional[bool] = None, | ||
use_ssa: typing.Optional[bool] = None, | ||
) -> list[list[int]]: | ||
r""" | ||
Find a contraction path using a (randomizable) greedy algorithm. | ||
Parameters | ||
---------- | ||
inputs : Sequence[Sequence[str]] | ||
The indices of each input tensor. | ||
output : Sequence[str] | ||
The indices of the output tensor. | ||
size_dict : dict[str, int] | ||
A dictionary mapping indices to their dimension. | ||
costmod : float, optional | ||
When assessing local greedy scores how much to weight the size of the | ||
tensors removed compared to the size of the tensor added:: | ||
score = size_ab / costmod - (size_a + size_b) * costmod | ||
This can be a useful hyper-parameter to tune. | ||
temperature : float, optional | ||
When asessing local greedy scores, how much to randomly perturb the | ||
score. This is implemented as:: | ||
score -> sign(score) * log(|score|) - temperature * gumbel() | ||
which implements boltzmann sampling. | ||
simplify : bool, optional | ||
Whether to perform simplifications before optimizing. These are: | ||
- ignore any indices that appear in all terms | ||
- combine any repeated indices within a single term | ||
- reduce any non-output indices that only appear on a single term | ||
- combine any scalar terms | ||
- combine any tensors with matching indices (hadamard products) | ||
Such simpifications may be required in the general case for the proper | ||
functioning of the core optimization, but may be skipped if the input | ||
indices are already in a simplified form. | ||
use_ssa : bool, optional | ||
Whether to return the contraction path in 'single static assignment' | ||
(SSA) format (i.e. as if each intermediate is appended to the list of | ||
inputs, without removals). This can be quicker and easier to work with | ||
than the 'linear recycled' format that `numpy` and `opt_einsum` use. | ||
Returns | ||
------- | ||
path : list[list[int]] | ||
The contraction path, given as a sequence of pairs of node indices. It | ||
may also have single term contractions if `simplify=True`. | ||
""" | ||
... | ||
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||
def optimize_optimal( | ||
inputs: typing.Sequence[typing.Sequence[str]], | ||
output: typing.Sequence[str], | ||
size_dict: typing.Mapping[str, float], | ||
minimize: typing.Optional[str] = None, | ||
cost_cap: typing.Optional[float] = None, | ||
search_outer: typing.Optional[bool] = None, | ||
simplify: typing.Optional[bool] = None, | ||
use_ssa: typing.Optional[bool] = None, | ||
) -> list[list[int]]: | ||
r""" | ||
Find an optimal contraction ordering. | ||
Parameters | ||
---------- | ||
inputs : Sequence[Sequence[str]] | ||
The indices of each input tensor. | ||
output : Sequence[str] | ||
The indices of the output tensor. | ||
size_dict : dict[str, int] | ||
The size of each index. | ||
minimize : str, optional | ||
The cost function to minimize. The options are: | ||
- "flops": minimize with respect to total operation count only | ||
(also known as contraction cost) | ||
- "size": minimize with respect to maximum intermediate size only | ||
(also known as contraction width) | ||
- 'write' : minimize the sum of all tensor sizes, i.e. memory written | ||
- 'combo' or 'combo={factor}` : minimize the sum of | ||
FLOPS + factor * WRITE, with a default factor of 64. | ||
- 'limit' or 'limit={factor}` : minimize the sum of | ||
MAX(FLOPS, alpha * WRITE) for each individual contraction, with a | ||
default factor of 64. | ||
'combo' is generally a good default in term of practical hardware | ||
performance, where both memory bandwidth and compute are limited. | ||
cost_cap : float, optional | ||
The maximum cost of a contraction to initially consider. This acts like | ||
a sieve and is doubled at each iteration until the optimal path can | ||
be found, but supplying an accurate guess can speed up the algorithm. | ||
search_outer : bool, optional | ||
If True, consider outer product contractions. This is much slower but | ||
theoretically might be required to find the true optimal 'flops' | ||
ordering. In practical settings (i.e. with minimize='combo'), outer | ||
products should not be required. | ||
simplify : bool, optional | ||
Whether to perform simplifications before optimizing. These are: | ||
- ignore any indices that appear in all terms | ||
- combine any repeated indices within a single term | ||
- reduce any non-output indices that only appear on a single term | ||
- combine any scalar terms | ||
- combine any tensors with matching indices (hadamard products) | ||
Such simpifications may be required in the general case for the proper | ||
functioning of the core optimization, but may be skipped if the input | ||
indices are already in a simplified form. | ||
use_ssa : bool, optional | ||
Whether to return the contraction path in 'single static assignment' | ||
(SSA) format (i.e. as if each intermediate is appended to the list of | ||
inputs, without removals). This can be quicker and easier to work with | ||
than the 'linear recycled' format that `numpy` and `opt_einsum` use. | ||
Returns | ||
------- | ||
path : list[list[int]] | ||
The contraction path, given as a sequence of pairs of node indices. It | ||
may also have single term contractions if `simplify=True`. | ||
""" | ||
... | ||
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def optimize_random_greedy_track_flops( | ||
inputs: typing.Sequence[typing.Sequence[str]], | ||
output: typing.Sequence[str], | ||
size_dict: typing.Mapping[str, float], | ||
ntrials: int, | ||
costmod: typing.Optional[tuple[float, float]] = None, | ||
temperature: typing.Optional[tuple[float, float]] = None, | ||
seed: typing.Optional[int] = None, | ||
simplify: typing.Optional[bool] = None, | ||
use_ssa: typing.Optional[bool] = None, | ||
) -> tuple[list[list[int]], float]: | ||
r""" | ||
Perform a batch of random greedy optimizations, simulteneously tracking | ||
the best contraction path in terms of flops, so as to avoid constructing a | ||
separate contraction tree. | ||
Parameters | ||
---------- | ||
inputs : tuple[tuple[str]] | ||
The indices of each input tensor. | ||
output : tuple[str] | ||
The indices of the output tensor. | ||
size_dict : dict[str, int] | ||
A dictionary mapping indices to their dimension. | ||
ntrials : int, optional | ||
The number of random greedy trials to perform. The default is 1. | ||
costmod : (float, float), optional | ||
When assessing local greedy scores how much to weight the size of the | ||
tensors removed compared to the size of the tensor added:: | ||
score = size_ab / costmod - (size_a + size_b) * costmod | ||
It is sampled uniformly from the given range. | ||
temperature : (float, float), optional | ||
When asessing local greedy scores, how much to randomly perturb the | ||
score. This is implemented as:: | ||
score -> sign(score) * log(|score|) - temperature * gumbel() | ||
which implements boltzmann sampling. It is sampled log-uniformly from | ||
the given range. | ||
seed : int, optional | ||
The seed for the random number generator. | ||
simplify : bool, optional | ||
Whether to perform simplifications before optimizing. These are: | ||
- ignore any indices that appear in all terms | ||
- combine any repeated indices within a single term | ||
- reduce any non-output indices that only appear on a single term | ||
- combine any scalar terms | ||
- combine any tensors with matching indices (hadamard products) | ||
Such simpifications may be required in the general case for the proper | ||
functioning of the core optimization, but may be skipped if the input | ||
indices are already in a simplified form. | ||
use_ssa : bool, optional | ||
Whether to return the contraction path in 'single static assignment' | ||
(SSA) format (i.e. as if each intermediate is appended to the list of | ||
inputs, without removals). This can be quicker and easier to work with | ||
than the 'linear recycled' format that `numpy` and `opt_einsum` use. | ||
Returns | ||
------- | ||
path : list[list[int]] | ||
The best contraction path, given as a sequence of pairs of node | ||
indices. | ||
flops : float | ||
The flops (/ contraction cost / number of multiplications), of the best | ||
contraction path, given log10. | ||
""" | ||
... | ||
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def optimize_simplify( | ||
inputs: typing.Sequence[typing.Sequence[str]], | ||
output: typing.Sequence[str], | ||
size_dict: typing.Mapping[str, float], | ||
use_ssa: typing.Optional[bool] = None, | ||
) -> list[list[int]]: | ||
r""" | ||
Find the (partial) contracton path for simplifiactions only. | ||
Parameters | ||
---------- | ||
inputs : Sequence[Sequence[str]] | ||
The indices of each input tensor. | ||
output : Sequence[str] | ||
The indices of the output tensor. | ||
size_dict : dict[str, int] | ||
A dictionary mapping indices to their dimension. | ||
use_ssa : bool, optional | ||
Whether to return the contraction path in 'single static assignment' | ||
(SSA) format (i.e. as if each intermediate is appended to the list of | ||
inputs, without removals). This can be quicker and easier to work with | ||
than the 'linear recycled' format that `numpy` and `opt_einsum` use. | ||
Returns | ||
------- | ||
path : list[list[int]] | ||
The contraction path, given as a sequence of pairs of node indices. It | ||
may also have single term contractions. | ||
""" | ||
... | ||
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def ssa_to_linear( | ||
ssa_path: typing.Sequence[typing.Sequence[int]], n: typing.Optional[int] = None | ||
) -> list[list[int]]: | ||
r""" | ||
Convert a SSA path to linear format. | ||
""" | ||
... |