VecForVector algebra for Fortran

A pure Fortran 2003+ OOP library for 3D Cartesian vector calculus.

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Vectorial Calculus Algebra

Cross product, dot product, parallel and orthogonal projections, face normals — all via expressive infix operators like .cross., .dot., .paral., .ortho.

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Full Arithmetic Overloading

Standard operators (+, -, *, /) work between vectors and between a vector and any numeric scalar — integers and reals of all supported PENF kinds, resolved at compile time with no runtime cost.

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Geometry Methods

Compute angles, distances to lines and planes, orthogonal projections, rotations, mirror reflections, and triangle/quad face normals with a single method call.

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Multi-Precision Support

Choose 32-bit (vector_R4P), 64-bit (vector_R8P, default), or 128-bit (vector_R16P) components. The master use vecfor re-exports all precisions.

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OOP / TDD Designed

All methods and operators are pure or elemental — thread- and process-safe. Every public procedure is exercised by automated doctests.

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Free & Open Source

Multi-licensed — GPLv3 for FOSS projects, BSD 2/3-Clause or MIT for commercial use. Fortran 2003+ standard compliant.

Quick start

Import VecFor, define some vectors using the built-in Cartesian versors, and perform vectorial algebra:

fortran

use vecfor
implicit none
type(vector) :: point1, point2, distance

point1 = 1 * ex                  ! ex is the x-direction versor [1, 0, 0]
point2 = 1 * ex + 2 * ey         ! ey is the y-direction versor [0, 1, 0]

distance = point2 - point1       ! [0, 2, 0]

call distance%print              ! Component x  0.000...
                                 ! Component y +2.000...
                                 ! Component z  0.000...
print *, distance%normL2()       ! +2.000...

Authors

Stefano Zaghi — @szaghi

Contributions are welcome — see the Contributing page.

Copyrights

VecFor is distributed under a multi-licensing system:

Use case	License
FOSS projects	GPL v3
Closed source / commercial	BSD 2-Clause
Closed source / commercial	BSD 3-Clause
Closed source / commercial	MIT

Anyone interested in using, developing, or contributing to VecFor is welcome — pick the license that best fits your needs.