Miscellaneous mathematical structures and function

Status:

• Some kind of Beta.

Description

• Yet another c++ library with various mathematical structures and function.

Key features:

• Headers only
• One file to include to start the fun
• Primitives: circle, direction, ellipse, interval, plane, quadric, tetrahedron, triangle
• Function:
  • vector, matrix, affine operation
  • distances, intersections between primitives
• No external dependence, out of the box ready.
• etc.

Code sample

#include<iostream>
#include<iomanip>
#include<string>
#include"math/math.hpp"usingnamespacestd;intmain( int argc, char *argv[] )
{
::math::linear::vector::point<double,2> point{100,100};
::math::geometry::direction::parametric<double,2> direction({ 5,5}, { 1,2});
::math::geometry::ellipse::base2D<double> b{ 20, 30 };
::math::geometry::ellipse::simple2D<double> s{ {10, 15}, 20, 30 };
::math::geometry::ellipse::general2D<double> g{ {10, 15}, 20, 30, ::math::geometry::deg2rad( 60 ) };
// Convert from one representation to another
g = g; g= s; g = b;
s = s; s = b;
::math::geometry::ellipse::distance( b, point );
::math::geometry::ellipse::distance( s, point );
::math::geometry::ellipse::distance( g, point );
double l0, l1;
::math::geometry::ellipse::intersect( l0, l1, b, direction );
::math::geometry::ellipse::intersect( l0, l1, s, direction );
::math::geometry::ellipse::intersect( l0, l1, g, direction );
cin.get();
returnEXIT_SUCCESS;
}

Install:

1. Clone this Repository:
   Examples:
   • Windows : git clone https://github.com/dmilos/math.git c:\my-work-folder\my-git-folder\math
   • Linux : git clone https://github.com/dmilos/math.git /home/my-user-name/my-work-folder/my-git-folder/math
2. Inform compiler where to find headers:
   Examples:
   • MSVC : /Ic:\my-work-folder\my-git-folder\math\src
   • gcc : -I/home/my-user-name/my-work-folder/my-git-folder/math/src

Content in details:

• complex
  • quaternion
    • quaternion arithmetic
• function
  • N dimensional Lebesgue/Z functions
• geometry
  • circle
    • Different circle structures, intersections with direction
  • direction
    • Direction structures and manipulation
  • ellipse
    • Ellipse structures and manipulation
  • interval
    • Interval structures and manipulation
  • plane
    • Plane structures and manipulation
  • projective
    • Epipolar functions.
  • quadric
    • create quadric from circle and ellipse
  • tetrahedron
    • Calculate volume
  • triangle
    • Calculate area
• grammar
• linear
• affine
  • Affine structure and manipulation ( addition, subtraction, compose, etc. )
• homography
  • Make and transform functions
• matrix
  • Matrix structure and manipulation ( addition, subtraction, compose, etc. )
• vector
  • Vector manipulation
• logic
  • Empty so far
• polynomial
  • Polynomial manipulation
• random
  • Sobol and vdc functions
• statistic
  • Gaussian, average, count.

Tested against:

• GCC 12.4.0
• MSVC 2022 (17.4.4)