| Name | py-ballisticcalc.exts JSON |
| Version |
2.0.1
JSON |
| download |
| home_page | None |
| Summary | LGPL library for small arms ballistic calculations (Python 3) |
| upload_time | 2024-04-11 16:15:06 |
| maintainer | None |
| docs_url | None |
| author | None |
| requires_python | >=3.9 |
| license | GNU LESSER GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. This version of the GNU Lesser General Public License incorporates the terms and conditions of version 3 of the GNU General Public License, supplemented by the additional permissions listed below. 0. Additional Definitions. As used herein, "this License" refers to version 3 of the GNU Lesser General Public License, and the "GNU GPL" refers to version 3 of the GNU General Public License. "The Library" refers to a covered work governed by this License, other than an Application or a Combined Work as defined below. An "Application" is any work that makes use of an interface provided by the Library, but which is not otherwise based on the Library. Defining a subclass of a class defined by the Library is deemed a mode of using an interface provided by the Library. A "Combined Work" is a work produced by combining or linking an Application with the Library. The particular version of the Library with which the Combined Work was made is also called the "Linked Version". The "Minimal Corresponding Source" for a Combined Work means the Corresponding Source for the Combined Work, excluding any source code for portions of the Combined Work that, considered in isolation, are based on the Application, and not on the Linked Version. The "Corresponding Application Code" for a Combined Work means the object code and/or source code for the Application, including any data and utility programs needed for reproducing the Combined Work from the Application, but excluding the System Libraries of the Combined Work. 1. Exception to Section 3 of the GNU GPL. You may convey a covered work under sections 3 and 4 of this License without being bound by section 3 of the GNU GPL. 2. Conveying Modified Versions. If you modify a copy of the Library, and, in your modifications, a facility refers to a function or data to be supplied by an Application that uses the facility (other than as an argument passed when the facility is invoked), then you may convey a copy of the modified version: a) under this License, provided that you make a good faith effort to ensure that, in the event an Application does not supply the function or data, the facility still operates, and performs whatever part of its purpose remains meaningful, or b) under the GNU GPL, with none of the additional permissions of this License applicable to that copy. 3. Object Code Incorporating Material from Library Header Files. The object code form of an Application may incorporate material from a header file that is part of the Library. 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| keywords |
py_ballisticcalc
ballistics
cython
ballistic calculator
python
python3
|
| VCS |
 |
| bugtrack_url |
|
| requirements |
No requirements were recorded.
|
| Travis-CI |
No Travis.
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| coveralls test coverage |
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|
# BallisticCalculator
LGPL library for small arms ballistic calculations (Python 3.9+)
### Table of contents
* **[Installation](#installation)**
* [Latest stable](#latest-stable-release-from-pypi)
* [From sources](#installing-from-sources)
* [Clone and build](#clone-and-build)
* **[Usage](#usage)**
* [Units of measure](#unit-manipulation-syntax)
* [An example of calculations](#an-example-of-calculations)
* [Output example](#example-of-the-formatted-output)
* **[Older versions]()**
* [v1.0.x](https://github.com/o-murphy/py_ballisticcalc/tree/v1.0.12)
* **[Contributors](#contributors)**
* **[About project](#about-project)**
### Installation
#### Latest stable release from pypi**
```shell
pip install py-ballisticcalc
# Using precompiled backend (improves performance)
pip install py-ballisticcalc[exts]
# Using matplotlib and pandas uses additional dependencies
pip install py-ballisticcalc[charts]
```
#### Using matplotlib and pandas uses additional dependencies
```shell
pip install py-ballisticcalc[charts]
```
#### Installing from sources
**MSVC** or **GCC** required
* Download and install **MSVC** or **GCC** depending on target platform
* Use one of the references you need:
```shell
# no binary from PyPi
pip install py-ballisticcalc==<version> --no-binary py-ballisticcalc
# master brunch
pip install git+https://github.com/o-murphy/py_ballisticcalc
# specific branch
pip install git+https://github.com/o-murphy/py_ballisticcalc.git@<target_branch_name>
```
[//]: # (#### Clone and build)
[//]: # (**MSVC** or **GCC** required)
[//]: # (```shell)
[//]: # (git clone https://github.com/o-murphy/py_ballisticcalc)
[//]: # (cd py_ballisticcalc)
[//]: # (python -m venv venv)
[//]: # (. venv/bin/activate)
[//]: # (pip install cython)
[//]: # (python setup.py build_ext --inplace)
[//]: # (```)
## Usage
The library supports all the popular units of measurement, and adds different built-in methods to define and manipulate it
#### Unit manipulation syntax:
```python
from py_ballisticcalc.unit import *
# ways to define value in prefer_units
# 1. old syntax
unit_in_meter = Distance(100, Distance.Meter)
# 2. short syntax by Unit type class
unit_in_meter = Distance.Meter(100)
# 3. by Unit enum class
unit_in_meter = Unit.Meter(100)
# >>> <Distance>: 100.0 m (3937.0078740157483)
# convert unit
# 1. by method
unit_in_yard = unit_in_meter.convert(Distance.Yard)
# 2. using shift syntax
unit_in_yards = unit_in_meter << Distance.Yard # '<<=' operator also supports
# >>> <Distance>: 109.36132983377078 yd (3937.0078740157483)
# get value in specified prefer_units
# 1. by method
value_in_km = unit_in_yards.get_in(Distance.Kilometer)
# 2. by shift syntax
value_in_km = unit_in_yards >> Distance.Kilometer # '>>=' operator also supports
# >>> 0.1
# getting unit raw value:
rvalue = Distance.Meter(10).raw_value
rvalue = float(Distance.Meter(10))
# prefer_units comparison:
# supports operators like < > <= >= == !=
Distance.Meter(100) == Distance.Centimeter(100) # >>> False, compare two prefer_units by raw value
Distance.Meter(100) > 10 # >>> True, compare unit with float by raw value
```
#### An example of calculations
```python
from py_ballisticcalc import *
from py_ballisticcalc import Settings, PreferredUnits
# Modify default prefer_units
PreferredUnits.velocity = Velocity.FPS
PreferredUnits.temperature = Temperature.Celsius
PreferredUnits.distance = Distance.Meter
PreferredUnits.sight_height = Distance.Centimeter
Settings.USE_POWDER_SENSITIVITY = True # Correct muzzle velocity for powder temperature
# Define ammunition parameters
weight, diameter = 168, 0.308 # Numbers will be assumed to use default Settings.Units
length = Distance.Inch(1.282) # Or declare prefer_units explicitly
dm = DragModel(0.223, TableG7, weight, diameter, length)
ammo = Ammo(dm, 2750, 15)
ammo.calc_powder_sens(2723, 0)
gun = Weapon(sight_height=9, twist=12)
current_atmo = Atmo(110, 29.8, 15, 72)
current_winds = [Wind(2, 90)]
shot = Shot(weapon=gun, ammo=ammo, atmo=current_atmo, winds=current_winds)
calc = Calculator()
calc.set_weapon_zero(shot, Distance.Meter(100))
shot_result = calc.fire(shot, trajectory_range=1000, trajectory_step=100)
for p in shot_result:
print(p.formatted())
```
#### Example of the formatted output:
```shell
python -m py_ballisticcalc.example
```
```
('0.000 s', '0.0 m', '2750.0 ft/s', '2.46 mach', '-3.5 inch', '-3.5 inch', '0.00 mil', '0.0 inch', '0.00 mil', '0.0 m', '0.0939 °', '-4.062e-03', '0.000', '2821 ft·lb', '880 lb', 8)
('0.125 s', '100.1 m', '2526.5 ft/s', '2.26 mach', '0.0 inch', '0.0 inch', '0.00 mil', '0.2 inch', '0.05 mil', '100.1 m', '0.0068 °', '-4.062e-03', '0.665', '2381 ft·lb', '683 lb', 9)
('0.260 s', '200.0 m', '2313.5 ft/s', '2.07 mach', '-3.0 inch', '-3.0 inch', '-0.39 mil', '0.8 inch', '0.10 mil', '200.0 m', '-0.0967 °', '-4.062e-03', '0.633', '1996 ft·lb', '524 lb', 8)
('0.409 s', '300.1 m', '2111.2 ft/s', '1.89 mach', '-13.8 inch', '-13.8 inch', '-1.19 mil', '1.9 inch', '0.16 mil', '300.1 m', '-0.2207 °', '-4.062e-03', '0.599', '1663 ft·lb', '398 lb', 8)
('0.572 s', '400.1 m', '1919.6 ft/s', '1.72 mach', '-33.9 inch', '-33.9 inch', '-2.19 mil', '3.5 inch', '0.22 mil', '400.1 m', '-0.3701 °', '-4.062e-03', '0.570', '1374 ft·lb', '299 lb', 8)
('0.751 s', '500.0 m', '1736.8 ft/s', '1.56 mach', '-65.4 inch', '-65.4 inch', '-3.38 mil', '5.7 inch', '0.30 mil', '500.0 m', '-0.5516 °', '-4.062e-03', '0.545', '1125 ft·lb', '222 lb', 8)
('0.951 s', '600.1 m', '1561.9 ft/s', '1.40 mach', '-110.7 inch', '-110.7 inch', '-4.77 mil', '8.7 inch', '0.37 mil', '600.1 m', '-0.7748 °', '-4.062e-03', '0.521', '910 ft·lb', '161 lb', 8)
('1.173 s', '700.0 m', '1395.2 ft/s', '1.25 mach', '-173.1 inch', '-173.1 inch', '-6.40 mil', '12.6 inch', '0.47 mil', '700.0 m', '-1.0525 °', '-4.062e-03', '0.495', '726 ft·lb', '115 lb', 8)
('1.423 s', '800.0 m', '1238.1 ft/s', '1.11 mach', '-257.0 inch', '-257.0 inch', '-8.31 mil', '17.6 inch', '0.57 mil', '800.0 m', '-1.4030 °', '-4.062e-03', '0.462', '572 ft·lb', '80 lb', 8)
('1.705 s', '900.1 m', '1097.8 ft/s', '0.98 mach', '-368.2 inch', '-368.2 inch', '-10.58 mil', '24.1 inch', '0.69 mil', '900.1 m', '-1.8503 °', '-9.633e-03', '0.333', '450 ft·lb', '56 lb', 8)
```
## Contributors
### This project exists thanks to all the people who contribute.
#### Special thanks to:
- **[David Bookstaber](https://github.com/dbookstaber)** - Ballistics Expert, Financial Engineer \
*For the help in understanding and improvement of some calculation methods*
- **[Nikolay Gekht](https://github.com/nikolaygekht)** \
*For the sources code on C# and GO-lang from which this project firstly was forked from*
## About project
The library provides trajectory calculation for projectiles including for various
applications, including air rifles, bows, firearms, artillery and so on.
3DF model that is used in this calculator is rooted in old C sources of version 2 of the public version of JBM
calculator, ported to C#, optimized, fixed and extended with elements described in
Litz's "Applied Ballistics" book and from the friendly project of Alexandre Trofimov
and then ported to Go.
Now it's also ported to python3 and expanded to support calculation trajectory by
multiple ballistics coefficients and using custom drag data (such as Doppler radar data ©Lapua, etc.)
The online version of Go documentation is located here: https://godoc.org/github.com/gehtsoft-usa/go_ballisticcalc
C# version of the package is located here: https://github.com/gehtsoft-usa/BallisticCalculator1
The online version of C# API documentation is located here: https://gehtsoft-usa.github.io/BallisticCalculator/web-content.html
Go documentation can be obtained using godoc tool.
The current status of the project is ALPHA version.
#### RISK NOTICE
The library performs very limited simulation of a complex physical process and so it performs a lot of approximations. Therefore, the calculation results MUST NOT be considered as completely and reliably reflecting actual behavior or characteristics of projectiles. While these results may be used for educational purpose, they must NOT be considered as reliable for the areas where incorrect calculation may cause making a wrong decision, financial harm, or can put a human life at risk.
THE CODE 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 MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.
Raw data
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"requires_python": ">=3.9",
"maintainer_email": null,
"keywords": "py_ballisticcalc, ballistics, Cython, ballistic calculator, python, python3",
"author": null,
"author_email": "o-murphy <thehelixpg@gmail.com>, dbookstaber <bookstaber@gmail.com>",
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"platform": null,
"description": "# BallisticCalculator\nLGPL library for small arms ballistic calculations (Python 3.9+)\n\n### Table of contents\n* **[Installation](#installation)**\n * [Latest stable](#latest-stable-release-from-pypi)\n * [From sources](#installing-from-sources)\n * [Clone and build](#clone-and-build)\n* **[Usage](#usage)**\n * [Units of measure](#unit-manipulation-syntax)\n * [An example of calculations](#an-example-of-calculations)\n * [Output example](#example-of-the-formatted-output)\n* **[Older versions]()**\n * [v1.0.x](https://github.com/o-murphy/py_ballisticcalc/tree/v1.0.12)\n* **[Contributors](#contributors)**\n* **[About project](#about-project)**\n\n### Installation\n#### Latest stable release from pypi**\n```shell\npip install py-ballisticcalc\n\n# Using precompiled backend (improves performance)\npip install py-ballisticcalc[exts]\n\n# Using matplotlib and pandas uses additional dependencies\npip install py-ballisticcalc[charts]\n```\n\n\n#### Using matplotlib and pandas uses additional dependencies\n```shell\npip install py-ballisticcalc[charts]\n```\n#### Installing from sources\n**MSVC** or **GCC** required\n* Download and install **MSVC** or **GCC** depending on target platform\n* Use one of the references you need:\n```shell\n# no binary from PyPi\npip install py-ballisticcalc==<version> --no-binary py-ballisticcalc\n\n# master brunch\npip install git+https://github.com/o-murphy/py_ballisticcalc\n\n# specific branch\npip install git+https://github.com/o-murphy/py_ballisticcalc.git@<target_branch_name>\n```\n\n[//]: # (#### Clone and build)\n\n[//]: # (**MSVC** or **GCC** required)\n\n[//]: # (```shell)\n\n[//]: # (git clone https://github.com/o-murphy/py_ballisticcalc)\n\n[//]: # (cd py_ballisticcalc)\n\n[//]: # (python -m venv venv)\n\n[//]: # (. venv/bin/activate)\n\n[//]: # (pip install cython)\n\n[//]: # (python setup.py build_ext --inplace)\n\n[//]: # (```)\n\n## Usage\n\n\n\nThe library supports all the popular units of measurement, and adds different built-in methods to define and manipulate it\n#### Unit manipulation syntax:\n\n```python\nfrom py_ballisticcalc.unit import *\n\n# ways to define value in prefer_units\n# 1. old syntax\nunit_in_meter = Distance(100, Distance.Meter)\n# 2. short syntax by Unit type class\nunit_in_meter = Distance.Meter(100)\n# 3. by Unit enum class\nunit_in_meter = Unit.Meter(100)\n\n# >>> <Distance>: 100.0 m (3937.0078740157483)\n\n# convert unit\n# 1. by method\nunit_in_yard = unit_in_meter.convert(Distance.Yard)\n# 2. using shift syntax\nunit_in_yards = unit_in_meter << Distance.Yard # '<<=' operator also supports\n# >>> <Distance>: 109.36132983377078 yd (3937.0078740157483)\n\n# get value in specified prefer_units\n# 1. by method\nvalue_in_km = unit_in_yards.get_in(Distance.Kilometer)\n# 2. by shift syntax\nvalue_in_km = unit_in_yards >> Distance.Kilometer # '>>=' operator also supports\n# >>> 0.1\n\n# getting unit raw value:\nrvalue = Distance.Meter(10).raw_value\nrvalue = float(Distance.Meter(10))\n\n# prefer_units comparison:\n# supports operators like < > <= >= == !=\nDistance.Meter(100) == Distance.Centimeter(100) # >>> False, compare two prefer_units by raw value\nDistance.Meter(100) > 10 # >>> True, compare unit with float by raw value\n```\n\n#### An example of calculations\n\n```python\nfrom py_ballisticcalc import *\nfrom py_ballisticcalc import Settings, PreferredUnits\n\n# Modify default prefer_units\nPreferredUnits.velocity = Velocity.FPS\nPreferredUnits.temperature = Temperature.Celsius\nPreferredUnits.distance = Distance.Meter\nPreferredUnits.sight_height = Distance.Centimeter\n\nSettings.USE_POWDER_SENSITIVITY = True # Correct muzzle velocity for powder temperature\n\n# Define ammunition parameters\nweight, diameter = 168, 0.308 # Numbers will be assumed to use default Settings.Units\nlength = Distance.Inch(1.282) # Or declare prefer_units explicitly\ndm = DragModel(0.223, TableG7, weight, diameter, length)\nammo = Ammo(dm, 2750, 15)\nammo.calc_powder_sens(2723, 0)\ngun = Weapon(sight_height=9, twist=12)\ncurrent_atmo = Atmo(110, 29.8, 15, 72)\ncurrent_winds = [Wind(2, 90)]\nshot = Shot(weapon=gun, ammo=ammo, atmo=current_atmo, winds=current_winds)\ncalc = Calculator()\ncalc.set_weapon_zero(shot, Distance.Meter(100))\n\nshot_result = calc.fire(shot, trajectory_range=1000, trajectory_step=100)\n\nfor p in shot_result:\n print(p.formatted())\n```\n#### Example of the formatted output:\n```shell\npython -m py_ballisticcalc.example\n```\n\n```\n('0.000 s', '0.0 m', '2750.0 ft/s', '2.46 mach', '-3.5 inch', '-3.5 inch', '0.00 mil', '0.0 inch', '0.00 mil', '0.0 m', '0.0939 \u00b0', '-4.062e-03', '0.000', '2821 ft\u00b7lb', '880 lb', 8)\n('0.125 s', '100.1 m', '2526.5 ft/s', '2.26 mach', '0.0 inch', '0.0 inch', '0.00 mil', '0.2 inch', '0.05 mil', '100.1 m', '0.0068 \u00b0', '-4.062e-03', '0.665', '2381 ft\u00b7lb', '683 lb', 9)\n('0.260 s', '200.0 m', '2313.5 ft/s', '2.07 mach', '-3.0 inch', '-3.0 inch', '-0.39 mil', '0.8 inch', '0.10 mil', '200.0 m', '-0.0967 \u00b0', '-4.062e-03', '0.633', '1996 ft\u00b7lb', '524 lb', 8)\n('0.409 s', '300.1 m', '2111.2 ft/s', '1.89 mach', '-13.8 inch', '-13.8 inch', '-1.19 mil', '1.9 inch', '0.16 mil', '300.1 m', '-0.2207 \u00b0', '-4.062e-03', '0.599', '1663 ft\u00b7lb', '398 lb', 8)\n('0.572 s', '400.1 m', '1919.6 ft/s', '1.72 mach', '-33.9 inch', '-33.9 inch', '-2.19 mil', '3.5 inch', '0.22 mil', '400.1 m', '-0.3701 \u00b0', '-4.062e-03', '0.570', '1374 ft\u00b7lb', '299 lb', 8)\n('0.751 s', '500.0 m', '1736.8 ft/s', '1.56 mach', '-65.4 inch', '-65.4 inch', '-3.38 mil', '5.7 inch', '0.30 mil', '500.0 m', '-0.5516 \u00b0', '-4.062e-03', '0.545', '1125 ft\u00b7lb', '222 lb', 8)\n('0.951 s', '600.1 m', '1561.9 ft/s', '1.40 mach', '-110.7 inch', '-110.7 inch', '-4.77 mil', '8.7 inch', '0.37 mil', '600.1 m', '-0.7748 \u00b0', '-4.062e-03', '0.521', '910 ft\u00b7lb', '161 lb', 8)\n('1.173 s', '700.0 m', '1395.2 ft/s', '1.25 mach', '-173.1 inch', '-173.1 inch', '-6.40 mil', '12.6 inch', '0.47 mil', '700.0 m', '-1.0525 \u00b0', '-4.062e-03', '0.495', '726 ft\u00b7lb', '115 lb', 8)\n('1.423 s', '800.0 m', '1238.1 ft/s', '1.11 mach', '-257.0 inch', '-257.0 inch', '-8.31 mil', '17.6 inch', '0.57 mil', '800.0 m', '-1.4030 \u00b0', '-4.062e-03', '0.462', '572 ft\u00b7lb', '80 lb', 8)\n('1.705 s', '900.1 m', '1097.8 ft/s', '0.98 mach', '-368.2 inch', '-368.2 inch', '-10.58 mil', '24.1 inch', '0.69 mil', '900.1 m', '-1.8503 \u00b0', '-9.633e-03', '0.333', '450 ft\u00b7lb', '56 lb', 8)\n```\n\n## Contributors\n### This project exists thanks to all the people who contribute.\n#### Special thanks to:\n- **[David Bookstaber](https://github.com/dbookstaber)** - Ballistics Expert, Financial Engineer \\\n*For the help in understanding and improvement of some calculation methods*\n- **[Nikolay Gekht](https://github.com/nikolaygekht)** \\\n*For the sources code on C# and GO-lang from which this project firstly was forked from*\n\n## About project\n\nThe library provides trajectory calculation for projectiles including for various\napplications, including air rifles, bows, firearms, artillery and so on.\n\n3DF model that is used in this calculator is rooted in old C sources of version 2 of the public version of JBM\ncalculator, ported to C#, optimized, fixed and extended with elements described in\nLitz's \"Applied Ballistics\" book and from the friendly project of Alexandre Trofimov\nand then ported to Go.\n\nNow it's also ported to python3 and expanded to support calculation trajectory by \nmultiple ballistics coefficients and using custom drag data (such as Doppler radar data \u00a9Lapua, etc.)\n\nThe online version of Go documentation is located here: https://godoc.org/github.com/gehtsoft-usa/go_ballisticcalc\n\nC# version of the package is located here: https://github.com/gehtsoft-usa/BallisticCalculator1\n\nThe online version of C# API documentation is located here: https://gehtsoft-usa.github.io/BallisticCalculator/web-content.html\n\nGo documentation can be obtained using godoc tool.\n\nThe current status of the project is ALPHA version.\n\n#### RISK NOTICE\n\nThe library performs very limited simulation of a complex physical process and so it performs a lot of approximations. Therefore, the calculation results MUST NOT be considered as completely and reliably reflecting actual behavior or characteristics of projectiles. While these results may be used for educational purpose, they must NOT be considered as reliable for the areas where incorrect calculation may cause making a wrong decision, financial harm, or can put a human life at risk.\n\nTHE CODE 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 MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS.\n",
"bugtrack_url": null,
"license": "GNU LESSER GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. This version of the GNU Lesser General Public License incorporates the terms and conditions of version 3 of the GNU General Public License, supplemented by the additional permissions listed below. 0. Additional Definitions. As used herein, \"this License\" refers to version 3 of the GNU Lesser General Public License, and the \"GNU GPL\" refers to version 3 of the GNU General Public License. \"The Library\" refers to a covered work governed by this License, other than an Application or a Combined Work as defined below. An \"Application\" is any work that makes use of an interface provided by the Library, but which is not otherwise based on the Library. 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You may convey a covered work under sections 3 and 4 of this License without being bound by section 3 of the GNU GPL. 2. Conveying Modified Versions. If you modify a copy of the Library, and, in your modifications, a facility refers to a function or data to be supplied by an Application that uses the facility (other than as an argument passed when the facility is invoked), then you may convey a copy of the modified version: a) under this License, provided that you make a good faith effort to ensure that, in the event an Application does not supply the function or data, the facility still operates, and performs whatever part of its purpose remains meaningful, or b) under the GNU GPL, with none of the additional permissions of this License applicable to that copy. 3. Object Code Incorporating Material from Library Header Files. The object code form of an Application may incorporate material from a header file that is part of the Library. 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Each version is given a distinguishing version number. If the Library as you received it specifies that a certain numbered version of the GNU Lesser General Public License \"or any later version\" applies to it, you have the option of following the terms and conditions either of that published version or of any later version published by the Free Software Foundation. If the Library as you received it does not specify a version number of the GNU Lesser General Public License, you may choose any version of the GNU Lesser General Public License ever published by the Free Software Foundation. If the Library as you received it specifies that a proxy can decide whether future versions of the GNU Lesser General Public License shall apply, that proxy's public statement of acceptance of any version is permanent authorization for you to choose that version for the Library. ",
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