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@ -126,3 +126,4 @@
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- 58
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- name: POLLARD-RHO
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number: 534767
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x-init: 5
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2
code/python/dist/VERSION
vendored
2
code/python/dist/VERSION
vendored
@ -1 +1 @@
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0.2.0
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0.3.0
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10
code/python/docs/commands/Models/CommandEuklid.md
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10
code/python/docs/commands/Models/CommandEuklid.md
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@ -0,0 +1,10 @@
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# CommandEuklid
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## Properties
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Name | Type | Description | Notes
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------------ | ------------- | ------------- | -------------
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**name** | [**EnumAlgorithmNames**](EnumAlgorithmNames.md) | | [default to null]
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**numbers** | [**List**](integer.md) | | [default to null]
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[[Back to Model list]](../README.md#documentation-for-models) [[Back to API list]](../README.md#documentation-for-api-endpoints) [[Back to README]](../README.md)
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11
code/python/docs/commands/Models/CommandPollard.md
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11
code/python/docs/commands/Models/CommandPollard.md
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@ -0,0 +1,11 @@
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# CommandPollard
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## Properties
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Name | Type | Description | Notes
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------------ | ------------- | ------------- | -------------
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**name** | [**EnumAlgorithmNames**](EnumAlgorithmNames.md) | | [default to null]
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**number** | [**Integer**](integer.md) | | [default to null]
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**xMinusinit** | [**Integer**](integer.md) | | [optional] [default to 2]
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[[Back to Model list]](../README.md#documentation-for-models) [[Back to API list]](../README.md#documentation-for-api-endpoints) [[Back to README]](../README.md)
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@ -3,6 +3,7 @@
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Name | Type | Description | Notes
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------------ | ------------- | ------------- | -------------
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**name** | [**EnumAlgorithmNames**](EnumAlgorithmNames.md) | | [default to null]
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**algorithm** | [**EnumRucksackAlgorithm**](EnumRucksackAlgorithm.md) | | [default to null]
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**allowMinusfractional** | [**Boolean**](boolean.md) | | [optional] [default to false]
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**maxMinuscost** | [**BigDecimal**](number.md) | Upper bound for total cost of rucksack. | [default to null]
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@ -13,7 +13,9 @@ Class | Method | HTTP request | Description
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## Documentation for Models
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- [Command](.//Models/Command.md)
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- [CommandEuklid](.//Models/CommandEuklid.md)
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- [CommandHirschberg](.//Models/CommandHirschberg.md)
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- [CommandPollard](.//Models/CommandPollard.md)
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- [CommandRucksack](.//Models/CommandRucksack.md)
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- [CommandTarjan](.//Models/CommandTarjan.md)
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- [CommandTsp](.//Models/CommandTsp.md)
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@ -9,6 +9,8 @@ Name | Type | Description | Notes
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**tsp** | [**AppOptions_tarjan**](AppOptions_tarjan.md) | | [default to null]
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**hirschberg** | [**AppOptions_hirschberg**](AppOptions_hirschberg.md) | | [default to null]
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**rucksack** | [**AppOptions_rucksack**](AppOptions_rucksack.md) | | [default to null]
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**euklid** | [**AppOptions_tarjan**](AppOptions_tarjan.md) | | [default to null]
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**pollardMinusrho** | [**AppOptions_tarjan**](AppOptions_tarjan.md) | | [default to null]
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[[Back to Model list]](../README.md#documentation-for-models) [[Back to API list]](../README.md#documentation-for-api-endpoints) [[Back to README]](../README.md)
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@ -1,6 +1,6 @@
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openapi: 3.0.3
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info:
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version: 0.2.0
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version: 0.3.0
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title: Schemata for command instructions
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servers:
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- url: "."
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@ -185,6 +185,10 @@ components:
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number:
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type: integer
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exclusiveMinimum: 0
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x-init:
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type: integer
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default: 2
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minimum: 2
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# Enum Algorithm Names
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@ -1,6 +1,6 @@
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openapi: 3.0.3
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info:
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version: 0.2.0
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version: 0.3.0
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title: Schemata for config models
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servers:
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- url: "."
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@ -1,6 +1,6 @@
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[project]
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name = "uni-leipzig-ads-2-2022"
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version = "0.2.0"
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version = "0.3.0"
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description = "Zusatzcode, um Algorithmen und Datenstrukturen im Kurs ADS2 zu demonstrieren."
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authors = [ "Raj Dahya" ]
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maintainers = [ "raj_mathe" ]
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@ -94,5 +94,4 @@ def euklidean_algorithm(
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print(f'a=\x1b[1m{step.a}\x1b[0m; b=\x1b[1m{step.b}\x1b[0m; d = \x1b[1m{step.gcd}\x1b[0m = {expr}.');
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print('');
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return d, coeff_a, coeff_b;
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@ -10,8 +10,8 @@ from src.thirdparty.maths import *;
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from models.generated.config import *;
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from src.core.utils import *;
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# from src.models.pollard_rho import *;
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from src.algorithms.euklid.display import *;
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from src.models.pollard_rho import *;
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from src.algorithms.pollard_rho.display import *;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# EXPORTS
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@ -27,6 +27,48 @@ __all__ = [
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def pollard_rho_algorithm(
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n: int,
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x_init: int = 2,
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verbose: bool = False,
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):
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return;
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d = 1;
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x = y = x_init;
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steps = [];
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steps.append(Step(x=x, y=y));
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success = False;
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f = lambda _: fct(_, n=n);
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while True:
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x = f(x);
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y = f(f(y));
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d = math.gcd(abs(x-y), n);
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steps.append(Step(x=x, y=y, d=d));
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if d == 1:
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continue;
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elif d < n:
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success = True;
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break;
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else:
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success = False;
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break;
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if verbose:
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repr = display_table(steps=steps);
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print('');
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print('\x1b[1mEuklidescher Algorithmus\x1b[0m');
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print('');
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print(repr);
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print('');
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if success:
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print('\x1b[1mBerechneter Faktor:\x1b[0m');
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print('');
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print(f'd = \x1b[1m{d}\x1b[0m.');
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else:
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print('\x1b[91mKein (Prim)faktor erkannt!\x1b[0m');
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print('');
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return d;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# AUXILIARY METHOD function for Pollard's rho
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def fct(x: int, n: int) -> int:
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return (x**2 - 1) % n;
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@ -0,0 +1,42 @@
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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# IMPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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from src.thirdparty.code import *;
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from src.thirdparty.maths import *;
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from src.thirdparty.types import *;
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from src.models.pollard_rho import *;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# EXPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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__all__ = [
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'display_table',
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];
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# METHOD display table
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def display_table(steps: List[Step]) -> str:
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table = pd.DataFrame({
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'i': [i for i in range(len(steps))],
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'x': [step.x for step in steps],
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'y': [step.y for step in steps],
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'd': [step.d or '-' for step in steps],
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}) \
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.reset_index(drop=True);
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# benutze pandas-Dataframe + tabulate, um schöner darzustellen:
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repr = tabulate(
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table,
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headers=['i', 'x[i]', 'y[i] = x[2i]', 'gcd(|x - y|,n)'],
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showindex=False,
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colalign=('right', 'right', 'right', 'center'),
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tablefmt='simple',
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);
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return repr;
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@ -28,6 +28,7 @@ __all__ = [
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def endpoint_pollard_rho(command: CommandPollard) -> Result[CallResult, CallError]:
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result = pollard_rho_algorithm(
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n = command.number,
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x_init = command.x_init,
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verbose = config.OPTIONS.tsp.verbose,
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);
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return Ok(CallResult(action_taken=True, message=result));
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16
code/python/src/models/pollard_rho/__init__.py
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16
code/python/src/models/pollard_rho/__init__.py
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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# IMPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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from src.models.pollard_rho.logging import *;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# EXPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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__all__ = [
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'Step',
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];
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26
code/python/src/models/pollard_rho/logging.py
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26
code/python/src/models/pollard_rho/logging.py
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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# IMPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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from src.thirdparty.types import *;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# EXPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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__all__ = [
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'Step',
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];
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# CLASS Step
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@dataclass
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class Step():
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x: int = field();
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y: int = field();
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d: Optional[int] = field(default=None);
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