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# Prerequisites | ||
*.d | ||
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# Compiled Object files | ||
*.slo | ||
*.lo | ||
*.o | ||
*.obj | ||
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# Precompiled Headers | ||
*.gch | ||
*.pch | ||
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# Compiled Dynamic libraries | ||
*.so | ||
*.dylib | ||
*.dll | ||
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# Fortran module files | ||
*.mod | ||
*.smod | ||
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# Compiled Static libraries | ||
*.lai | ||
*.la | ||
*.a | ||
*.lib | ||
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# Executables | ||
*.exe | ||
*.out | ||
*.app | ||
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build | ||
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#MIT License | ||
# | ||
# Copyright (c) 2018 Ola Benderius | ||
# | ||
# Permission is hereby granted, free of charge, to any person obtaining a copy | ||
# of this software and associated documentation files (the "Software"), to deal | ||
# in the Software without restriction, including without limitation the rights | ||
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
# copies of the Software, and to permit persons to whom the Software is | ||
# furnished to do so, subject to the following conditions: | ||
# | ||
# The above copyright notice and this permission notice shall be included in all | ||
# copies or substantial portions of the Software. | ||
# | ||
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
# SOFTWARE. | ||
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cmake_minimum_required(VERSION 3.2) | ||
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project(splinetoolbox) | ||
set(CMAKE_CXX_STANDARD 11) | ||
set(CMAKE_CXX_STANDARD_REQUIRED ON) | ||
set(CMAKE_CXX_EXTENSIONS OFF) | ||
if(NOT WIN32) | ||
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} \ | ||
-D_XOPEN_SOURCE=700 \ | ||
-D_FORTIFY_SOURCE=2 \ | ||
-O2 \ | ||
-fstack-protector \ | ||
-fomit-frame-pointer \ | ||
-pipe \ | ||
-pedantic -pedantic-errors \ | ||
-Werror \ | ||
-Weffc++ \ | ||
-Wall -Wextra -Wshadow -Wdeprecated \ | ||
-Wdiv-by-zero -Wfloat-equal -Wsign-compare -Wpointer-arith \ | ||
-Wuninitialized -Wunreachable-code \ | ||
-Wunused -Wunused-function -Wunused-label -Wunused-parameter -Wunused-but-set-parameter -Wunused-but-set-variable \ | ||
-Wunused-value -Wunused-variable -Wunused-result \ | ||
-Wmissing-field-initializers -Wmissing-format-attribute -Wmissing-include-dirs -Wmissing-noreturn") | ||
endif() | ||
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include_directories(${CMAKE_CURRENT_SOURCE_DIR}) | ||
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enable_testing() | ||
add_executable(${PROJECT_NAME}-runner ${CMAKE_CURRENT_SOURCE_DIR}/test/test-splinetoolbox.cpp) | ||
target_link_libraries(${PROJECT_NAME}-runner) | ||
add_test(NAME ${PROJECT_NAME}-runner COMMAND ${PROJECT_NAME}-runner) | ||
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# splinetoolbox | ||
A simple header-only, single-file spline toolbox library for C++ | ||
## splinetoolbox: a simple header-only, single-file spline toolbox library for C++ | ||
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[![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](https://opensource.org/licenses/MIT) | ||
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splinetoolbox is a small and efficient library written in modern C++ library to provide functionality for working with splines | ||
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splinetoolbox is available as single-file, header-only library. Insert [splinetoolbox.hpp](https://raw.githubusercontent.com/olbender/splinetoolbox/master/splinetoolbox.hpp) into your project, `#include "splinetoolbox.hpp"`, and compile your project with a modern C++ compiler (C++11 or newer). | ||
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## Table of Contents | ||
* [Features](#features) | ||
* [Dependencies](#dependencies) | ||
* [Contributing](#contributing) | ||
* [License](#license) | ||
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## Features | ||
* Written in highly portable and high quality C++11 | ||
* **Available as header-only, single-file distribution. Insert [splinetoolbox.hpp](https://raw.githubusercontent.com/olbender/splinetoolbox/master/splinetoolbox.hpp) into your project, `#include "splinetoolbox.hpp"`, and compile your project with a modern C++ compiler (C++11 or newer)** | ||
* Catmull-Rom spline: `double curve = splinetoolbox::catmullrom(p0, p1, p2, p3, t);` where p[0–3] are the control points (can be x, y, z or anything else), and t is the distance between p1 (t = 0.0) and p2 (t = 1.0), assuming that the distance betwwen all four points are the same. p0 and p3 are virtual points for this single segment, but can be part of a larger spline. | ||
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## Dependencies | ||
No dependencies! All you need is a C++11-compliant compiler as the project ships the following dependencies as part of the source distribution: | ||
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* [Unit Test Framework Catch2](https://github.com/catchorg/Catch2/releases/tag/v2.1.1) - [![License: Boost Software License v1.0](https://img.shields.io/badge/License-Boost%20v1-blue.svg)](http://www.boost.org/LICENSE_1_0.txt) - [Source](https://github.com/olbender/splinetoolbox/blob/master/test/catch.hpp) | ||
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## Installation | ||
### Installation as single-file, header-only library | ||
splinetoolbox is provided as header-only, single-file library as well. Insert [splinetoolbox.hpp](https://raw.githubusercontent.com/olbender/splinetoolbox/master/splinetoolbox.hpp) into your project, `#include "splinetoolbox.hpp"`, and compile your project with a modern C++ compiler (C++11 or newer) | ||
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## License | ||
* This project is released under the terms of the MIT License - [![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](https://opensource.org/licenses/MIT) |
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/* | ||
* MIT License | ||
* | ||
* Copyright (c) 2018 Ola Benderius | ||
* | ||
* Permission is hereby granted, free of charge, to any person obtaining a copy | ||
* of this software and associated documentation files (the "Software"), to deal | ||
* in the Software without restriction, including without limitation the rights | ||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
* copies of the Software, and to permit persons to whom the Software is | ||
* furnished to do so, subject to the following conditions: | ||
* | ||
* The above copyright notice and this permission notice shall be included in all | ||
* copies or substantial portions of the Software. | ||
* | ||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
* SOFTWARE. | ||
*/ | ||
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#ifndef SPLINETOOLBOX_HPP | ||
#define SPLINETOOLBOX_HPP | ||
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#include <algorithm> | ||
#include <string> | ||
#include <vector> | ||
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namespace splinetoolbox { | ||
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/** | ||
* @return double for the point on the Catmull-Rom spline given four control points and t=0.0 at p1 and t=1.0 at p2, assuming equal distance between points. | ||
*/ | ||
inline double catmullrom(double p0, double p1, double p2, double p3, double t) noexcept | ||
{ | ||
return p1 + 0.5 * (p2 - p0) * t + 0.5 * (4 * p2 + 2 * p0 - p3 - 5 * p1) * t * t + 0.5 * (3 * p1 + p3 - p0 - 3 * p2) * t * t * t; | ||
} | ||
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/** | ||
* @return double for first derivative for the Catmull-Rom spline | ||
*/ | ||
inline double catmullrom_d(double p0, double p1, double p2, double p3, double t) noexcept | ||
{ | ||
return 0.5 * (p2 - p0) + (4 * p2 + 2 * p0 - p3 - 5 * p1) * t + 1.5 * (3 * p1 + p3 - p0 - 3 * p2) * t * t; | ||
} | ||
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/** | ||
* @return double for second derivative for the Catmull-Rom spline | ||
*/ | ||
inline double catmullrom_dd(double p0, double p1, double p2, double p3, double t) noexcept | ||
{ | ||
return (4 * p2 + 2 * p0 - p3 - 5 * p1) + 3 * (3 * p1 + p3 - p0 - 3 * p2) * t; | ||
} | ||
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} | ||
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#endif |
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