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Mizux Seiha
2025-05-12 12:57:50 +02:00
parent 99f94edb47
commit 4c60a56fa3
18 changed files with 1792 additions and 924 deletions
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13
.github/dependabot.yml vendored Normal file
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@@ -0,0 +1,13 @@
# Keep GitHub Actions up to date with GitHub's Dependabot...
# https://docs.github.com/en/code-security/dependabot/working-with-dependabot/keeping-your-actions-up-to-date-with-dependabot
# https://docs.github.com/en/code-security/dependabot/dependabot-version-updates/configuration-options-for-the-dependabot.yml-file#package-ecosystem
version: 2
updates:
- package-ecosystem: github-actions
directory: /
groups:
github-actions:
patterns:
- "*" # Group all Actions updates into a single larger pull request
schedule:
interval: weekly

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cmake/README.md
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@@ -43,7 +43,7 @@
[windows_dotnet_svg]: ./../../../actions/workflows/amd64_windows_cmake_dotnet.yml/badge.svg?branch=main
[windows_dotnet_link]: ./../../../actions/workflows/amd64_windows_cmake_dotnet.yml
Dockers \[Alpine, Archlinux, Centos, Debian, Fedora, OpenSuse, Ubuntu\]x
Dockers \[AlmaLinux, Alpine, Archlinux, Debian, Fedora, OpenSuse, RockyLinux, Ubuntu\]x
\[C++, Python, Java, .Net\]: [![Status][docker_svg]][docker_link]
[docker_svg]: ./../../../actions/workflows/amd64_docker_cmake.yml/badge.svg?branch=main

4
cmake/docker/ubuntu/python.Dockerfile
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@@ -6,11 +6,11 @@ RUN apt-get update -qq \
python3-dev python3-pip \
python3-setuptools python3-wheel \
python3-venv python3-virtualenv \
python3-numpy python3-pandas python3-typing-extensions \
python3-numpy python3-pandas \
&& apt-get clean \
&& rm -rf /var/lib/apt/lists/* /tmp/* /var/tmp/*
RUN python3 -m pip install --break-system-package \
absl-py mypy mypy-protobuf
absl-py mypy mypy-protobuf typing-extensions
FROM env AS devel
WORKDIR /home/project

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cmake/docker/web/Dockerfile
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@@ -18,13 +18,14 @@ COPY . .
FROM devel AS build
RUN emcmake cmake -S. -Bbuild \
-DCMAKE_BUILD_TYPE=Release -DBUILD_DEPS=ON \
-DBUILD_TESTING=OFF \
-DBUILD_EXAMPLES=OFF \
-DUSE_COINOR=OFF \
-DUSE_GLPK=OFF \
-DUSE_HIGHS=OFF \
-DUSE_PDLP=OFF \
-DUSE_SCIP=OFF
RUN cmake --build build --target all -v
RUN cmake --build build --target all -v -j 4
#RUN cmake --build build --target install -v
FROM build AS test

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cmake/docs/deps.svg
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<title>Protobuf&#45;&gt;ZLIB</title>
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<!-- Re2 -->
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<title>Re2</title>
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<!-- Protobuf&#45;&gt;Re2 -->
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<!-- Re2&#45;&gt;Absl -->
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<!-- Eigen3 -->
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<!-- Pybind11 -->
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<!-- CoinUtils -->
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<!-- Osi -->
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<title>Osi</title>
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<!-- CoinUtils&#45;&gt;Osi -->
<!-- Osi&#45;&gt;CoinUtils -->
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<!-- Clp -->
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<!-- CoinUtils&#45;&gt;Clp -->
<!-- Clp&#45;&gt;CoinUtils -->
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<!-- Clp&#45;&gt;Osi -->
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<!-- OsiClp -->
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<!-- CoinUtils&#45;&gt;OsiClp -->
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<!-- Cgl -->
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<!-- CoinUtils&#45;&gt;Cgl -->
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<!-- CoinUtils&#45;&gt;OsiCbc -->
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<!-- Osi&#45;&gt;Cgl -->
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<!-- Osi&#45;&gt;Cbc -->
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<!-- Clp&#45;&gt;ClpSolver -->
<!-- ClpSolver&#45;&gt;Clp -->
<g id="edge7" class="edge">
<title>Clp&#45;&gt;ClpSolver</title>
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<polygon fill="black" stroke="black" points="546.71,-301.76 536.77,-298.1 542.26,-307.16 546.71,-301.76"/>
<title>ClpSolver&#45;&gt;Clp</title>
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<polygon fill="black" stroke="black" points="258.5,-406.63 262,-416.63 265.5,-406.63 258.5,-406.63"/>
</g>
<!-- Clp&#45;&gt;Cbc -->
<g id="edge13" class="edge">
<title>Clp&#45;&gt;Cbc</title>
<path fill="none" stroke="black" d="M565.9,-348.94C531.49,-344.86 480.61,-332.89 455,-298 421.29,-252.07 430.84,-180.8 439.62,-142.15"/>
<polygon fill="black" stroke="black" points="443.08,-142.71 442.03,-132.16 436.28,-141.06 443.08,-142.71"/>
<!-- Cgl -->
<g id="node13" class="node">
<title>Cgl</title>
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<text text-anchor="middle" x="214" y="-274.32" font-family="Times,serif" font-size="14.00">Coin::Cgl</text>
</g>
<!-- OsiClp&#45;&gt;Cgl -->
<!-- Cgl&#45;&gt;CoinUtils -->
<g id="edge8" class="edge">
<title>Cgl&#45;&gt;CoinUtils</title>
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</g>
<!-- Cgl&#45;&gt;Osi -->
<g id="edge9" class="edge">
<title>Cgl&#45;&gt;Osi</title>
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</g>
<!-- Cgl&#45;&gt;OsiClp -->
<g id="edge10" class="edge">
<title>OsiClp&#45;&gt;Cgl</title>
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<polygon fill="black" stroke="black" points="649.1,-225.72 648.34,-215.15 642.34,-223.89 649.1,-225.72"/>
<title>Cgl&#45;&gt;OsiClp</title>
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<!-- Cgl&#45;&gt;Cbc -->
<!-- Cbc -->
<g id="node14" class="node">
<title>Cbc</title>
<path fill="royalblue" stroke="royalblue" d="M363.12,-203.75C363.12,-203.75 302.88,-203.75 302.88,-203.75 296.88,-203.75 290.88,-197.75 290.88,-191.75 290.88,-191.75 290.88,-179.75 290.88,-179.75 290.88,-173.75 296.88,-167.75 302.88,-167.75 302.88,-167.75 363.12,-167.75 363.12,-167.75 369.12,-167.75 375.12,-173.75 375.12,-179.75 375.12,-179.75 375.12,-191.75 375.12,-191.75 375.12,-197.75 369.12,-203.75 363.12,-203.75"/>
<text text-anchor="middle" x="333" y="-181.07" font-family="Times,serif" font-size="14.00">Coin::Cbc</text>
</g>
<!-- Cbc&#45;&gt;ZLIB -->
<g id="edge25" class="edge">
<title>Cbc&#45;&gt;ZLIB</title>
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<polygon fill="black" stroke="black" points="570.58,-263.41 581.17,-263 572.64,-256.71 570.58,-263.41"/>
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<!-- Cbc&#45;&gt;CoinUtils -->
<g id="edge11" class="edge">
<title>Cbc&#45;&gt;CoinUtils</title>
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<!-- Cbc&#45;&gt;Osi -->
<g id="edge12" class="edge">
<title>Cbc&#45;&gt;Osi</title>
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</g>
<!-- Cbc&#45;&gt;Clp -->
<g id="edge13" class="edge">
<title>Cbc&#45;&gt;Clp</title>
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</g>
<!-- Cbc&#45;&gt;Cgl -->
<g id="edge14" class="edge">
<title>Cgl&#45;&gt;Cbc</title>
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<polygon fill="black" stroke="black" points="493.92,-129.69 483.33,-129.29 491.36,-136.2 493.92,-129.69"/>
<title>Cbc&#45;&gt;Cgl</title>
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<polygon fill="black" stroke="black" points="243.59,-250.9 237.78,-259.77 247.85,-256.46 243.59,-250.9"/>
</g>
<!-- Cbc&#45;&gt;OsiCbc -->
<!-- OsiCbc -->
<g id="node15" class="node">
<title>OsiCbc</title>
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<text text-anchor="middle" x="196" y="-87.83" font-family="Times,serif" font-size="14.00">Coin::OsiCbc</text>
</g>
<!-- OsiCbc&#45;&gt;CoinUtils -->
<g id="edge15" class="edge">
<title>OsiCbc&#45;&gt;CoinUtils</title>
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<!-- OsiCbc&#45;&gt;Osi -->
<g id="edge16" class="edge">
<title>OsiCbc&#45;&gt;Osi</title>
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<!-- OsiCbc&#45;&gt;Cbc -->
<g id="edge17" class="edge">
<title>Cbc&#45;&gt;OsiCbc</title>
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<polygon fill="black" stroke="black" points="540.85,-67.92 548.09,-60.19 537.61,-61.72 540.85,-67.92"/>
<title>OsiCbc&#45;&gt;Cbc</title>
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<!-- CbcSolver -->
<g id="node16" class="node">
<title>CbcSolver</title>
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<text text-anchor="middle" x="464" y="-38.3" font-family="Times,serif" font-size="14.00">Coin::CbcSolver</text>
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<text text-anchor="middle" x="333" y="-87.83" font-family="Times,serif" font-size="14.00">Coin::CbcSolver</text>
</g>
<!-- Cbc&#45;&gt;CbcSolver -->
<!-- CbcSolver&#45;&gt;Cbc -->
<g id="edge18" class="edge">
<title>Cbc&#45;&gt;CbcSolver</title>
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<polygon fill="black" stroke="black" points="460.89,-70.65 459.85,-60.1 454.08,-69 460.89,-70.65"/>
<title>CbcSolver&#45;&gt;Cbc</title>
<path fill="none" stroke="black" d="M333,-110.66C333,-123.45 333,-141.22 333,-156.14"/>
<polygon fill="black" stroke="black" points="329.5,-155.84 333,-165.84 336.5,-155.84 329.5,-155.84"/>
</g>
<!-- GLPK -->
<g id="node17" class="node">
<title>GLPK</title>
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<text text-anchor="middle" x="1301" y="-522.3" font-family="Times,serif" font-size="14.00">glpk::glpk</text>
<path fill="royalblue" stroke="royalblue" d="M2597.25,-110.5C2597.25,-110.5 2534.75,-110.5 2534.75,-110.5 2528.75,-110.5 2522.75,-104.5 2522.75,-98.5 2522.75,-98.5 2522.75,-86.5 2522.75,-86.5 2522.75,-80.5 2528.75,-74.5 2534.75,-74.5 2534.75,-74.5 2597.25,-74.5 2597.25,-74.5 2603.25,-74.5 2609.25,-80.5 2609.25,-86.5 2609.25,-86.5 2609.25,-98.5 2609.25,-98.5 2609.25,-104.5 2603.25,-110.5 2597.25,-110.5"/>
<text text-anchor="middle" x="2566" y="-87.83" font-family="Times,serif" font-size="14.00">glpk::glpk</text>
</g>
<!-- HIGHS -->
<g id="node18" class="node">
<title>HIGHS</title>
<path fill="royalblue" stroke="royalblue" d="M2956.5,-110.5C2956.5,-110.5 2877.5,-110.5 2877.5,-110.5 2871.5,-110.5 2865.5,-104.5 2865.5,-98.5 2865.5,-98.5 2865.5,-86.5 2865.5,-86.5 2865.5,-80.5 2871.5,-74.5 2877.5,-74.5 2877.5,-74.5 2956.5,-74.5 2956.5,-74.5 2962.5,-74.5 2968.5,-80.5 2968.5,-86.5 2968.5,-86.5 2968.5,-98.5 2968.5,-98.5 2968.5,-104.5 2962.5,-110.5 2956.5,-110.5"/>
<text text-anchor="middle" x="2917" y="-87.83" font-family="Times,serif" font-size="14.00">highs::highs</text>
</g>
<!-- SPX -->
<g id="node19" class="node">
<title>SPX</title>
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<text text-anchor="middle" x="596" y="-181.07" font-family="Times,serif" font-size="14.00">libsoplex</text>
</g>
<!-- SPX&#45;&gt;ZLIB -->
<g id="edge26" class="edge">
<title>SPX&#45;&gt;ZLIB</title>
<path fill="none" stroke="black" d="M602.4,-203.91C607.21,-216.83 613.91,-234.82 619.5,-249.83"/>
<polygon fill="black" stroke="black" points="616.22,-251.04 622.99,-259.18 622.78,-248.59 616.22,-251.04"/>
</g>
<!-- SCIP -->
<g id="node18" class="node">
<g id="node20" class="node">
<title>SCIP</title>
<path fill="royalblue" stroke="royalblue" d="M1611,-544C1611,-544 1567,-544 1567,-544 1561,-544 1555,-538 1555,-532 1555,-532 1555,-520 1555,-520 1555,-514 1561,-508 1567,-508 1567,-508 1611,-508 1611,-508 1617,-508 1623,-514 1623,-520 1623,-520 1623,-532 1623,-532 1623,-538 1617,-544 1611,-544"/>
<text text-anchor="middle" x="1589" y="-522.3" font-family="Times,serif" font-size="14.00">scip::scip</text>
<path fill="royalblue" stroke="royalblue" d="M671,-110.5C671,-110.5 589,-110.5 589,-110.5 583,-110.5 577,-104.5 577,-98.5 577,-98.5 577,-86.5 577,-86.5 577,-80.5 583,-74.5 589,-74.5 589,-74.5 671,-74.5 671,-74.5 677,-74.5 683,-80.5 683,-86.5 683,-86.5 683,-98.5 683,-98.5 683,-104.5 677,-110.5 671,-110.5"/>
<text text-anchor="middle" x="630" y="-87.83" font-family="Times,serif" font-size="14.00">SCIP::libscip</text>
</g>
<!-- SCIP&#45;&gt;ZLIB -->
<g id="edge27" class="edge">
<title>SCIP&#45;&gt;ZLIB</title>
<path fill="none" stroke="black" d="M640.08,-110.87C643.64,-117.95 647.21,-126.38 649,-134.5 657.16,-171.5 654.95,-182.33 649,-219.75 647.41,-229.76 644.37,-240.38 641.18,-249.78"/>
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</g>
<!-- SCIP&#45;&gt;SPX -->
<g id="edge19" class="edge">
<title>SCIP&#45;&gt;SPX</title>
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</g>
<!-- gtest -->
<g id="node21" class="node">
<title>gtest</title>
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<text text-anchor="middle" x="1042" y="-181.07" font-family="Times,serif" font-size="14.00">GTest::gtest</text>
</g>
<!-- gtest&#45;&gt;Absl -->
<g id="edge30" class="edge">
<title>gtest&#45;&gt;Absl</title>
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<!-- gtest&#45;&gt;Re2 -->
<g id="edge36" class="edge">
<title>gtest&#45;&gt;Re2</title>
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<!-- bench -->
<g id="node22" class="node">
<title>bench</title>
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<text text-anchor="middle" x="862" y="-87.83" font-family="Times,serif" font-size="14.00">benchmark::benchmark</text>
</g>
<!-- bench&#45;&gt;gtest -->
<g id="edge21" class="edge">
<title>bench&#45;&gt;gtest</title>
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<!-- fuzz -->
<g id="node23" class="node">
<title>fuzz</title>
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<text text-anchor="middle" x="1048" y="-87.83" font-family="Times,serif" font-size="14.00">fuzztest::fuzztest</text>
</g>
<!-- fuzz&#45;&gt;Absl -->
<g id="edge31" class="edge">
<title>fuzz&#45;&gt;Absl</title>
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</g>
<!-- fuzz&#45;&gt;Protobuf -->
<g id="edge33" class="edge">
<title>fuzz&#45;&gt;Protobuf</title>
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<!-- fuzz&#45;&gt;Re2 -->
<g id="edge37" class="edge">
<title>fuzz&#45;&gt;Re2</title>
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<!-- fuzz&#45;&gt;gtest -->
<g id="edge20" class="edge">
<title>fuzz&#45;&gt;gtest</title>
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<!-- Pybind11 -->
<g id="node24" class="node">
<title>Pybind11</title>
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191
examples/contrib/permutation_flow_shop.py Normal file
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@@ -0,0 +1,191 @@
#!/usr/bin/env python3
# Copyright 2010-2025 Google LLC
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
"""This model implements the permutation flow shop problem (PFSP).
In the PFSP, a set of jobs has to be processed on a set of machines. Each job
must be processed on each machine in sequence and all jobs have to be processed
in the same order on every machine. The objective is to minimize the makespan.
"""
from typing import Sequence
from dataclasses import dataclass
from itertools import product
import numpy as np
from absl import app
from absl import flags
from google.protobuf import text_format
from ortools.sat.python import cp_model
_PARAMS = flags.DEFINE_string(
"params",
"num_search_workers:16",
"Sat solver parameters.",
)
_TIME_LIMIT = flags.DEFINE_float(
"time_limit",
60.0,
"Time limit in seconds. Default is 60s.",
)
_LOG = flags.DEFINE_boolean(
"log",
False,
"Whether to log the solver output.",
)
@dataclass
class TaskType:
"""
Small wrapper to hold the start, end, and interval variables of a task.
"""
start: cp_model.IntVar
end: cp_model.IntVar
interval: cp_model.IntervalVar
def permutation_flow_shop(
processing_times: np.ndarray,
time_limit: float,
log: bool,
params: str
):
"""
Solves the given permutation flow shop problem instance with OR-Tools.
Parameters
----------
processing_times
An n-by-m matrix of processing times of the jobs on the machines.
time_limit
The time limit in seconds. If not set, the solver runs until an
optimal solution is found.
log
Whether to log the solver output. Default is False.
Raises
------
ValueError
If the number of lines is greater than 1, i.e., the instance is a
distributed permutation flow shop problem.
"""
m = cp_model.CpModel()
num_jobs, num_machines = processing_times.shape
horizon = processing_times.sum()
# Create interval variables for all tasks (each job/machine pair).
tasks = {}
for job, machine in product(range(num_jobs), range(num_machines)):
start = m.new_int_var(0, horizon, "")
end = m.new_int_var(0, horizon, "")
duration = processing_times[job][machine]
interval = m.new_interval_var(start, duration, end, "")
tasks[job, machine] = TaskType(start, end, interval)
# No overlap for all job intervals on this machine.
for machine in range(num_machines):
intervals = [tasks[job, machine].interval for job in range(num_jobs)]
m.add_no_overlap(intervals)
# Add precedence constraints between tasks of the same job.
for job, machine in product(range(num_jobs), range(num_machines - 1)):
pred = tasks[job, machine]
succ = tasks[job, machine + 1]
m.add(pred.end <= succ.start)
# Create arcs for circuit constraints.
arcs = []
for idx1 in range(num_jobs):
arcs.append((0, idx1 + 1, m.new_bool_var("start")))
arcs.append((idx1 + 1, 0, m.new_bool_var("end")))
lits = {}
for idx1, idx2 in product(range(num_jobs), repeat=2):
if idx1 != idx2:
lit = m.new_bool_var(f"{idx1} -> {idx2}")
lits[idx1, idx2] = lit
arcs.append((idx1 + 1, idx2 + 1, lit))
m.add_circuit(arcs)
# Enforce that the permutation of jobs is the same on all machines.
for machine in range(num_machines):
starts = [tasks[job, machine].start for job in range(num_jobs)]
ends = [tasks[job, machine].end for job in range(num_jobs)]
for idx1, idx2 in product(range(num_jobs), repeat=2):
if idx1 == idx2:
continue
# Since all machines share the same arc literals, if the literal
# i -> j is True, this enforces that job i is always scheduled
# before job j on all machines.
lit = lits[idx1, idx2]
m.add(ends[idx1] <= starts[idx2]).only_enforce_if(lit)
# Set minimizing makespan as objective.
obj_var = m.new_int_var(0, horizon, "makespan")
completion_times = [
tasks[(job, num_machines - 1)].end for job in range(num_jobs)
]
m.add_max_equality(obj_var, completion_times)
m.minimize(obj_var)
solver = cp_model.CpSolver()
if params:
text_format.Parse(params, solver.parameters)
solver.parameters.log_search_progress = log
solver.parameters.max_time_in_seconds = time_limit
status_code = solver.Solve(m)
status = solver.StatusName(status_code)
print(f"Status: {status}")
print(f"Makespan: {solver.ObjectiveValue()}")
if status in ["OPTIMAL", "FEASIBLE"]:
start = [solver.Value(tasks[job, 0].start) for job in range(num_jobs)]
solution = np.argsort(start) + 1
print(f"Solution: {solution}")
def main(argv: Sequence[str]) -> None:
"""Creates the data and calls the solving procedure."""
# VRF_10_5_2 instance from http://soa.iti.es/problem-instances.
# Optimal makespan is 698.
processing_times = [
[79, 67, 10, 48, 52],
[40, 40, 57, 21, 54],
[48, 93, 49, 11, 79],
[16, 23, 19, 2, 38],
[38, 90, 57, 73, 3],
[76, 13, 99, 98, 55],
[73, 85, 40, 20, 85],
[34, 6, 27, 53, 21],
[38, 6, 35, 28, 44],
[32, 11, 11, 34, 27],
]
permutation_flow_shop(
np.array(processing_times), _TIME_LIMIT.value, _LOG.value, _PARAMS.value
)
if __name__ == "__main__":
app.run(main)

2
examples/dotnet/README.md
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@@ -3,7 +3,7 @@
The following examples showcase how to use OrTools.<br>
The project solution has examples for C#.
We recommend that all projects you create target `net6.0`,
We recommend that all projects you create target `net8.0`,
as this allows you to compile for various frameworks and
keep up-to-date with the latest frameworks.

123
ortools/graph/README.md
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@@ -76,6 +76,129 @@ Flow algorithms:
supplies/demands at nodes, based on the Goldberg-Tarjan push-relabel
algorithm.
## Class design
`BaseGraph` is a generic graph interface on which most algorithms can be built
and provides efficient implementations with a fast construction time. Its design
is based on the experience acquired in various graph algorithm implementations.
The main ideas are:
- Graph nodes and arcs are represented by integers.
- Node or arc annotations (weight, cost, ...) are not part of the graph class,
they can be stored outside in one or more arrays and can be easily retrieved
using a node or arc as an index.
### Terminology
An *arc* (or *forward arc*) of a graph is directed and going from a *tail node*
to a *head node*.
```mermaid
graph TD;
tail -->|arc| head;
```
Node and arc indices are of type `NodeIndexType` and `ArcIndexType`
respectively. Those default to `int32_t`, which allows representing most
practical graphs, but applications that have smaller graphs can improve memory
usage and locality by parameterizing the graph type (e.g. `BaseGraph<int16_t,
int16_t>` allows representing graphs with up to 65k nodes and arcs).
A node or arc index is *valid* if it represents a node or arc of the graph. The
validity ranges are always `[0, num_nodes())` for nodes and `[0, num_arcs())`
for forward arcs. For example, the following graph has 4 nodes numbered 0
through 3 and 5 forward arcs numbered 0 through 4:
```mermaid
graph TD;
0-->|0| 1;
2-->|1| 1;
0-->|2| 2;
3-->|3| 3;
1-->|4| 2;
```
Some graph implementations also store *reverse arcs* and can be used for
undirected graphs or flow-like algorithms. Reverse arcs are elements of
`[-num_arcs(), 0)` and are also considered valid by the implementations that
store them. In the following diagram, reverse arcs are represented with dashed
lines. A reverse arc is created for each forward arc (the forward and
reverse arc in this pair are called *opposite* of each other). This possibly
results in multiarcs:
```mermaid
graph TD;
0-->|0| 1;
1-.->|-1| 0;
2-->|1| 1;
1-.->|-2| 2;
0-->|2| 2;
2-.->|-3| 0;
3-->|3| 3;
3-.->|-4| 3;
1-->|4| 2;
2-.->|-5| 1;
```
#### Graph traversal
- The *outgoing arcs* of a node `v` are the forward arcs whose tail is `v`.
- The *incoming arcs* of `v` are the forward arcs whose head is `v`.
- The *opposite incoming* arcs of `v` are the opposite arcs of the incoming
arcs for `v`.
Forward graph classes allow iteration on outgoing arcs using accessor
`OutgoingArcs()`. Graph classes with both forward and reverse arcs additionally
provide `IncomingArcs` and `OppositeIncomingArcs()`, that return iterators for
the two other categories. They also provide `OutgoingOrOppositeIncomingArcs()`,
which allows iterating both outgoing and opposite incoming arcs at the same
time, which corresponds to iterating forward and reverse arcs *leaving* the
node.
`v` | `OutgoingArcs(v)` | `IncomingArcs(v)` | `OppositeIncomingArcs(v)` | `OutgoingOrOppositeIncoming(v)`
--- | ----------------- | ----------------- | ------------------------- | -------------------------------
0 | {0,2} | {} | {} | {0,2}
1 | {4} | {0,1} | {-2,-1} | {-2,-1,4}
2 | {1} | {2,4} | {-5,-3} | {-5,-3,1}
3 | {3} | {3} | {-4} | {-4,3}
### Graph implementations
- `ListGraph<>`: Simplest API. Iterating outgoing arcs requires `2 + degree`
memory loads.
- `StaticGraph<>`: More memory and speed efficient than `ListGraph<>`, but
requires calling `Build()` once after adding all nodes and arcs. Iterating
outgoing arcs requires only `2` memory loads.
- `ReverseArcListGraph<>` adds reverse arcs to `ListGraph<>`. Iterating
neighboring arcs for a node requires `O(degree)` memory loads.
- `ReverseArcStaticGraph<>` adds reverse arcs to `StaticGraph<>`. Iterating
neighboring arcs for a node requires `O(1)` memory loads.
- `CompleteGraph<>`: If you need a fully connected graph. O(1) memory usage
and much faster than explicitly storing nodes and arcs using
`StaticGraph<>`.
- `CompleteBipartiteGraph<>`: If you need a fully connected bipartite graph.
O(1) memory usage and much faster than explicitly storing nodes and arcs
using `StaticGraph<>`.
- `FlowGraph<>`: A graph specialized for max-flow/min-cost-flow algorithms.
For max-flow or min-cost-flow we need a directed graph where each arc from
tail to head has a reverse arc from head to tail. In practice many input
graphs already have such reverse arc and it can make a big difference just
to reuse them. This is similar to `ReverseArcStaticGraph` but handles
reverse arcs in a different way. Instead of always creating a *new* reverse
arc for each arc of the input graph, this detects if a reverse arc is
already present in the input, and does not create a new one when this is the
case. In the best case, this can gain a factor 2 in the final graph size,
note however that the graph construction is slightly slower because of this
detection.
## Wrappers
* [`python`](python): the SWIG code that makes the wrapper available in Python

10
ortools/graph/generic_max_flow_test.cc
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@@ -352,9 +352,9 @@ void AddSourceAndSink(const typename Graph::NodeIndex num_tails,
}
template <typename Graph>
void GenerateCompleteGraph(const typename Graph::NodeIndex num_tails,
const typename Graph::NodeIndex num_heads,
Graph* graph) {
void GenerateCompleteGraphWithSourceAndSink(
const typename Graph::NodeIndex num_tails,
const typename Graph::NodeIndex num_heads, Graph* graph) {
const typename Graph::NodeIndex num_nodes = num_tails + num_heads + 2;
const typename Graph::ArcIndex num_arcs =
num_tails * num_heads + num_tails + num_heads;
@@ -470,7 +470,7 @@ void FullAssignment(std::optional<FlowQuantity> unused,
typename Graph::NodeIndex num_tails,
typename Graph::NodeIndex num_heads) {
Graph graph;
GenerateCompleteGraph(num_tails, num_heads, &graph);
GenerateCompleteGraphWithSourceAndSink(num_tails, num_heads, &graph);
graph.Build();
std::vector<int64_t> arc_capacity(graph.num_arcs(), 1);
std::unique_ptr<GenericMaxFlow<Graph>> max_flow(new GenericMaxFlow<Graph>(
@@ -590,7 +590,7 @@ void FullRandomFlow(std::optional<FlowQuantity> expected_flow,
const FlowQuantity kCapacityRange = 10000;
const FlowQuantity kCapacityDelta = 1000;
Graph graph;
GenerateCompleteGraph(num_tails, num_heads, &graph);
GenerateCompleteGraphWithSourceAndSink(num_tails, num_heads, &graph);
std::vector<int64_t> arc_capacity(graph.num_arcs());
GenerateRandomArcValuations(random, graph, kCapacityRange, &arc_capacity);

119
ortools/graph/graph_generator.h Normal file
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@@ -0,0 +1,119 @@
// Copyright 2010-2025 Google LLC
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#ifndef UTIL_GRAPH_GRAPH_GENERATOR_H_
#define UTIL_GRAPH_GRAPH_GENERATOR_H_
// Generates a complete undirected graph with `num_nodes` nodes.
//
// A complete graph is a graph in which all pairs of distinct nodes are
// connected by an edge.
// The graph is represented using the provided `Graph` template.
// If the chosen graph type requires a call to `Build()`, the user is expected
// to perform this call, possibly after tweaking the graph.
//
// Consider using `CompleteGraph` (util/graph/graph.h) instead of this function
// in production code, as it uses constant memory to store the graph. Instead,
// this function explicitly creates the graph using the template type, which is
// mostly useful for tests or when you have to tweak the graph after creation
// (i.e. a complete graph is just the core of your final graph).
//
// Args:
// num_nodes: The number of nodes in the graph.
//
// Returns:
// A complete undirected graph.
template <typename Graph>
Graph GenerateCompleteUndirectedGraph(
const typename Graph::NodeIndex num_nodes) {
Graph graph;
graph.Reserve(num_nodes, num_nodes * (num_nodes - 1));
graph.AddNode(num_nodes - 1); // Only for degenerate cases with no arcs.
for (typename Graph::NodeIndex src = 0; src < num_nodes; ++src) {
for (typename Graph::NodeIndex dst = src + 1; dst < num_nodes; ++dst) {
graph.AddArc(src, dst);
graph.AddArc(dst, src);
}
}
return graph;
}
// Generates a complete undirected bipartite graph with `num_nodes_1` and
// `num_nodes_2` nodes in each part.
//
// A complete bipartite graph is a graph in which all pairs of distinct nodes,
// one in each part, are connected by an edge.
// The graph is represented using the provided `Graph` template.
// If the chosen graph type requires a call to `Build()`, the user is expected
// to perform this call, possibly after tweaking the graph.
//
// Args:
// num_nodes_1: The number of nodes in the first part of the graph.
// num_nodes_2: The number of nodes in the second part of the graph.
//
// Returns:
// A complete undirected bipartite graph.
template <typename Graph>
Graph GenerateCompleteUndirectedBipartiteGraph(
const typename Graph::NodeIndex num_nodes_1,
const typename Graph::NodeIndex num_nodes_2) {
Graph graph;
graph.Reserve(num_nodes_1 + num_nodes_2, 2 * num_nodes_1 * num_nodes_2);
graph.AddNode(num_nodes_1 + num_nodes_2 - 1); // Only for degenerate cases.
for (typename Graph::NodeIndex src = 0; src < num_nodes_1; ++src) {
for (typename Graph::NodeIndex dst = 0; dst < num_nodes_2; ++dst) {
graph.AddArc(src, num_nodes_1 + dst);
graph.AddArc(num_nodes_1 + dst, src);
}
}
return graph;
}
// Generates a complete directed bipartite graph with `num_nodes_1` and
// `num_nodes_2` nodes in each part.
//
// A complete bipartite graph is a graph in which all pairs of distinct nodes,
// one in each part, are connected by an edge. Edges are directed from the first
// part towards the second part.
// The graph is represented using the provided `Graph` template.
// If the chosen graph type requires a call to `Build()`, the user is expected
// to perform this call, possibly after tweaking the graph.
//
// Consider using `CompleteBipartiteGraph` (util/graph/graph.h) instead of this
// function in production code, as it uses constant memory to store the graph.
// Instead, this function explicitly creates the graph using the template type,
// which is mostly useful for tests or when you have to tweak the graph after
// creation (i.e. a complete graph is just the core of your final graph).
//
// Args:
// num_nodes_1: The number of nodes in the first part of the graph.
// num_nodes_2: The number of nodes in the second part of the graph.
//
// Returns:
// A complete directed bipartite graph.
template <typename Graph>
Graph GenerateCompleteDirectedBipartiteGraph(
const typename Graph::NodeIndex num_nodes_1,
const typename Graph::NodeIndex num_nodes_2) {
Graph graph;
graph.Reserve(num_nodes_1 + num_nodes_2, num_nodes_1 * num_nodes_2);
graph.AddNode(num_nodes_1 + num_nodes_2 - 1); // Only for degenerate cases.
for (typename Graph::NodeIndex src = 0; src < num_nodes_1; ++src) {
for (typename Graph::NodeIndex dst = 0; dst < num_nodes_2; ++dst) {
graph.AddArc(src, num_nodes_1 + dst);
}
}
return graph;
}
#endif // UTIL_GRAPH_GRAPH_GENERATOR_H_

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ortools/graph/graph_generator_test.cc Normal file
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@@ -0,0 +1,129 @@
// Copyright 2010-2025 Google LLC
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#include "ortools/graph/graph_generator.h"
#include <vector>
#include "gtest/gtest.h"
#include "ortools/base/gmock.h"
#include "ortools/graph/graph.h"
namespace {
using ::testing::IsEmpty;
using ::testing::UnorderedElementsAre;
template <typename Graph>
std::vector<int> OutgoingNodes(const Graph& graph,
typename Graph::NodeIndex src) {
std::vector<int> nodes;
for (const typename Graph::ArcIndex arc : graph.OutgoingArcs(src)) {
nodes.push_back(graph.Head(arc));
}
return nodes;
}
template <class T>
class GenerateCompleteUndirectedGraphTest : public testing::Test {};
using GenerateCompleteUndirectedGraphTypes =
::testing::Types<util::ListGraph<int, int>, util::StaticGraph<int, int>>;
TYPED_TEST_SUITE(GenerateCompleteUndirectedGraphTest,
GenerateCompleteUndirectedGraphTypes);
TYPED_TEST(GenerateCompleteUndirectedGraphTest, SimpleGraph) {
TypeParam graph = GenerateCompleteUndirectedGraph<TypeParam>(3);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 3);
EXPECT_EQ(graph.num_arcs(), 6);
EXPECT_THAT(graph.OutDegree(0), 2);
EXPECT_THAT(graph.OutDegree(1), 2);
EXPECT_THAT(graph.OutDegree(2), 2);
EXPECT_THAT(OutgoingNodes(graph, 0), UnorderedElementsAre(1, 2));
EXPECT_THAT(OutgoingNodes(graph, 1), UnorderedElementsAre(0, 2));
EXPECT_THAT(OutgoingNodes(graph, 2), UnorderedElementsAre(0, 1));
}
TYPED_TEST(GenerateCompleteUndirectedGraphTest, SmallestGraph) {
TypeParam graph = GenerateCompleteUndirectedGraph<TypeParam>(1);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 1);
EXPECT_EQ(graph.num_arcs(), 0);
EXPECT_THAT(OutgoingNodes(graph, 0), IsEmpty());
}
template <class T>
class GenerateCompleteUndirectedBipartiteGraphTest : public testing::Test {};
using GenerateCompleteUndirectedBipartiteGraphTypes =
::testing::Types<util::ListGraph<int, int>, util::StaticGraph<int, int>>;
TYPED_TEST_SUITE(GenerateCompleteUndirectedBipartiteGraphTest,
GenerateCompleteUndirectedBipartiteGraphTypes);
TYPED_TEST(GenerateCompleteUndirectedBipartiteGraphTest, SimpleGraph) {
TypeParam graph = GenerateCompleteUndirectedBipartiteGraph<TypeParam>(2, 3);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 5);
EXPECT_EQ(graph.num_arcs(), 12);
EXPECT_THAT(OutgoingNodes(graph, 0), UnorderedElementsAre(2, 3, 4));
EXPECT_THAT(OutgoingNodes(graph, 1), UnorderedElementsAre(2, 3, 4));
EXPECT_THAT(OutgoingNodes(graph, 2), UnorderedElementsAre(0, 1));
EXPECT_THAT(OutgoingNodes(graph, 3), UnorderedElementsAre(0, 1));
EXPECT_THAT(OutgoingNodes(graph, 4), UnorderedElementsAre(0, 1));
}
template <class T>
class GenerateCompleteDirectedBipartiteGraphTest : public testing::Test {};
using GenerateCompleteDirectedBipartiteGraphTypes =
::testing::Types<util::ListGraph<int, int>, util::StaticGraph<int, int>>;
TYPED_TEST_SUITE(GenerateCompleteDirectedBipartiteGraphTest,
GenerateCompleteDirectedBipartiteGraphTypes);
TYPED_TEST(GenerateCompleteDirectedBipartiteGraphTest, SimpleGraph) {
TypeParam graph = GenerateCompleteDirectedBipartiteGraph<TypeParam>(2, 3);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 5);
EXPECT_EQ(graph.num_arcs(), 6);
EXPECT_THAT(OutgoingNodes(graph, 0), UnorderedElementsAre(2, 3, 4));
EXPECT_THAT(OutgoingNodes(graph, 1), UnorderedElementsAre(2, 3, 4));
EXPECT_THAT(OutgoingNodes(graph, 2), IsEmpty());
EXPECT_THAT(OutgoingNodes(graph, 3), IsEmpty());
EXPECT_THAT(OutgoingNodes(graph, 4), IsEmpty());
}
TYPED_TEST(GenerateCompleteDirectedBipartiteGraphTest, SimplSmallestGraphLeft) {
TypeParam graph = GenerateCompleteDirectedBipartiteGraph<TypeParam>(1, 0);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 1);
EXPECT_EQ(graph.num_arcs(), 0);
EXPECT_THAT(OutgoingNodes(graph, 0), IsEmpty());
}
TYPED_TEST(GenerateCompleteDirectedBipartiteGraphTest,
SimplSmallestGraphRight) {
TypeParam graph = GenerateCompleteDirectedBipartiteGraph<TypeParam>(0, 1);
graph.Build();
EXPECT_EQ(graph.num_nodes(), 1);
EXPECT_EQ(graph.num_arcs(), 0);
EXPECT_THAT(OutgoingNodes(graph, 0), IsEmpty());
}
} // namespace

2
ortools/graph/graph_test.cc
View File

@@ -715,7 +715,6 @@ TYPED_TEST(GenericGraphInterfaceTest, EmptyGraphAlternateSyntax) {
EXPECT_EQ(ArcIndex(0), graph.num_arcs());
}
#if !defined(_MSC_VER)
TYPED_TEST(GenericGraphInterfaceTest, GraphWithNodesButNoArc) {
using NodeIndex = typename TypeParam::NodeIndex;
using ArcIndex = typename TypeParam::ArcIndex;
@@ -737,7 +736,6 @@ TYPED_TEST(GenericGraphInterfaceTest, GraphWithNodesButNoArc) {
}
EXPECT_EQ(0, count);
}
#endif // !defined(_MSC_VER)
TYPED_TEST(GenericGraphInterfaceTest, BuildWithRandomArc) {
using NodeIndex = typename TypeParam::NodeIndex;

1
ortools/math_opt/elemental/BUILD.bazel
View File

@@ -129,7 +129,6 @@ cc_test(
":symmetry",
"//ortools/base:gmock_main",
"//ortools/math_opt/testing:stream",
"@abseil-cpp//absl/strings",
],
)

3
ortools/math_opt/elemental/derived_data_test.cc
View File

@@ -165,7 +165,8 @@ TEST(FormatAttrValueTest, FormatsInt64) {
}
TEST(FormatAttrValueTest, FormatsDouble) {
EXPECT_EQ(FormatAttrValue(absl::SixDigits(4.2)), "4.2");
// need a double with an exact binary representation
EXPECT_EQ(FormatAttrValue(4.5), "4.5");
}
} // namespace

4
ortools/math_opt/solver_tests/CMakeLists.txt
View File

@@ -324,6 +324,7 @@ ortools_cxx_library(
TESTING
)
if(USE_SCIP AND USE_GLOP)
ortools_cxx_test(
NAME
${_PREFIX}_test_models_test
@@ -334,9 +335,8 @@ ortools_cxx_test(
GTest::gmock_main
ortools::math_opt_test_models
ortools::math_opt_matchers
#ortools::math_opt_glop_solver
#ortools::math_opt_gscipt_solver
)
endif()
ortools_cxx_library(
NAME

3
ortools/set_cover/CMakeLists.txt
View File

@@ -33,6 +33,9 @@ target_link_libraries(${NAME} PRIVATE
if(BUILD_TESTING)
file(GLOB _TEST_SRCS "*_test.cc")
if(NOT USE_SCIP)
list(FILTER _TEST_SRCS EXCLUDE REGEX ".*/set_cover_test.cc")
endif()
foreach(_FULL_FILE_NAME IN LISTS _TEST_SRCS)
get_filename_component(_NAME ${_FULL_FILE_NAME} NAME_WE)
get_filename_component(_FILE_NAME ${_FULL_FILE_NAME} NAME)