Add recipe for infrared.

Signed-off-by: helehex <helehex@gmail.com>

recipes/infrared/README.md

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+# Infrared
+Infrared is a geometric algebra library for Mojo.
+
+## Geometric Algebra
+[Geometric algebras](https://en.wikipedia.org/wiki/Geometric_algebra) are [Clifford algebras](https://en.wikipedia.org/wiki/Clifford_algebra) in the context of geometry.
+
+It's an alternative paradigm to linear algebra that uses 'multivectors' instead of matrices.
+
+Multivectors can represent geometric objects and transformations such as lines, planes, rotations, etc.
+
+Multivectors can be multiplied together using the 'geometric product'.
+
+## Using Infrared
+With infrared, you can generate the geometric product table for an arbitrary signature.
+
+Multivectors are also parameterized on a basis masks, to avoid unnecessary overhead.
+
+Example:
+```mojo
+alias sig = Signature(2, 0, 1)
+var m = Multivector[sig, sig.vector_mask()](0.0, 1.0, 2.0)
+print(m * m)
+```
+
+Infrared has no dependecies other than max.
+
+Developers can use infrared as a mathematical abstraction over geometry (projective, conformal, spacetime, dimension-agnostic, etc.)
+
+## Contributing
+I'm accepting contributions, but haven't made a contributors guide yet.
+
+Some issues and areas of work include:
+- performance improvements, signature generation could use bitwise operations
+- constructors for geometric objects and a better model for initializing multivectors
+- better basis masking, currently uses a list of bools
+- examples and benchmarks
+
+If you want to reach out, you can email me at helehex@gmail.com, or message me on discord (my alias in the modular server is ghostfire)

recipes/infrared/recipe.yaml

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+context:
+  version: "0.1.0"
+
+package:
+  name: "infrared"
+  version: ${{ version }}
+
+source:
+  - git: https://github.com/helehex/infrared.git
+    rev: 1776092af17ce25af4d3c1273bee9974a4bc66c4
+
+build:
+  number: 0
+  script:
+    - mojo package src -o ${{ PREFIX }}/lib/mojo/infrared.mojopkg
+requirements:
+  host:
+    - max
+  run:
+    - ${{ pin_compatible('max') }}
+
+tests:
+  - script:
+      - if: unix
+        then:
+          - mojo run test.mojo
+    files:
+      recipe:
+        - test.mojo
+
+about:
+  homepage: https://github.com/helehex/infrared
+  license: MIT
+  license_file: LICENSE
+  summary: A geometric algebra library for mojo.
+  repository: https://github.com/helehex/infrared
+
+extra:
+  maintainers:
+    - helehex
+  project_name: Infrared

recipes/infrared/test.mojo

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+from testing import assert_true, assert_false, assert_equal, assert_not_equal
+from infrared.algebra import *
+
+
+def main():
+    test_eq()
+    test_ne()
+    test_subspace_constructor()
+    test_getattr()
+    test_normalized()
+    test_add()
+    test_sub()
+    test_mul()
+    test_sandwich()
+
+
+def test_eq():
+    alias g3 = Signature(3, 0, 0)
+    assert_true(Multivector[g3, g3.empty_mask()]().__eq__(Float64(0)))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__eq__(Multivector[g3, g3.vector_mask()](1, 2, 3)))
+    assert_false(Multivector[g3, g3.vector_mask()](1, 2, 3).__eq__(Multivector[g3, g3.vector_mask()](1, 4, 3)))
+    assert_false(Multivector[g3, g3.vector_mask()](1, 2, 3).__eq__(Float64(1)))
+
+
+def test_ne():
+    alias g3 = Signature(3, 0, 0)
+    assert_false(Multivector[g3, g3.empty_mask()]().__ne__(Float64(0)))
+    assert_false(Multivector[g3, g3.vector_mask()](1, 2, 3).__ne__(Multivector[g3, g3.vector_mask()](1, 2, 3)))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__ne__(Multivector[g3, g3.vector_mask()](1, 4, 3)))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__ne__(Float64(1)))
+
+
+def test_subspace_constructor():
+    assert_true(scalar[G3](6) == Multivector[G3](6))
+    assert_true(scalar[G3](0) != Multivector[G3](6))
+
+    assert_true(vector[G3](1, 2, 3) == Multivector[G3, G3.vector_mask()](1, 2, 3))
+    assert_true(vector[G3](1, 0, 3) != Multivector[G3, G3.vector_mask()](1, 2, 3))
+
+    assert_true(bivector[G3](4, 5, 6) == Multivector[G3, G3.bivector_mask()](4, 5, 6))
+    assert_true(bivector[G3](4, 0, 6) != Multivector[G3, G3.bivector_mask()](4, 5, 6))
+
+
+def test_getattr():
+    alias g3 = Signature(3, 0, 0)
+    alias scalar_vector_mask = List(True, True, True, True, False, False, False, False)
+    assert_equal(Multivector[g3](6).s, Float64(6))
+    assert_equal(Multivector[g3, g3.vector_mask()](7, 8, 9).s, Float64(0))
+    assert_equal(Multivector[g3, scalar_vector_mask](6, 7, 8, 9).s, Float64(6))
+
+
+def test_normalized():
+    alias g3 = Signature(3, 0, 0)
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).normalized() == Multivector[g3, g3.vector_mask()](0.2672612419124244, 0.53452248382484879, 0.80178372573727319))
+    assert_true(Multivector[g3, g3.bivector_mask()](1, 2, 3).normalized() == Multivector[g3, g3.bivector_mask()](0.2672612419124244, 0.53452248382484879, 0.80178372573727319))
+
+
+def test_add():
+    alias g3 = Signature(3, 0, 0)
+    alias scalar_vector_mask = List(True, True, True, True, False, False, False, False)
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__add__(Multivector[g3, g3.vector_mask()](1, 2, 3)) == Multivector[g3, g3.vector_mask()](2, 4, 6))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__add__(Float64(1)) == Multivector[g3, scalar_vector_mask](1, 1, 2, 3))
+
+
+def test_sub():
+    alias g3 = Signature(3, 0, 0)
+    alias scalar_vector_mask = List(True, True, True, True, False, False, False, False)
+    assert_true(Multivector[g3, g3.vector_mask()](2, 4, 6).__sub__(Multivector[g3, g3.vector_mask()](1, 2, 3)) == Multivector[g3, g3.vector_mask()](1, 2, 3))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__sub__(Float64(1)) == Multivector[g3, scalar_vector_mask](-1, 1, 2, 3))
+
+
+def test_mul():
+    alias g3 = Signature(3, 0, 0)
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__mul__(Float64(2)) == Multivector[g3, g3.vector_mask()](2, 4, 6))
+    assert_true(Multivector[g3, g3.vector_mask()](1, 2, 3).__mul__(Multivector[g3, g3.antiscalar_mask()](1)) == Multivector[g3, g3.bivector_mask()](3, -2, 1))
+
+    alias ug3 = Signature(1, 1, 1, flip_ze = False)
+    alias v1_mask = List(False, True, False, False, False, False, False, False)
+    assert_true(Multivector[ug3, v1_mask](2).__mul__(Multivector[ug3, v1_mask](2)) == Float64(4))
+    alias v2_mask = List(False, False, True, False, False, False, False, False)
+    assert_true(Multivector[ug3, v2_mask](2).__mul__(Multivector[ug3, v2_mask](2)) == Float64(-4))
+    alias v3_mask = List(False, False, False, True, False, False, False, False)
+    assert_true(Multivector[ug3, v3_mask](2).__mul__(Multivector[ug3, v3_mask](2)) == Float64(0))
+
+    alias pg3 = Signature(3, 0, 1, flip_ze = True)
+    alias niltrivector_mask = List(False, False, False, False, False, False, False, False, False, False, False, True, True, True, False, False)
+    assert_true(Multivector[pg3, pg3.vector_mask()](1, 2, 3, 4).__mul__(Float64(2)) == Multivector[pg3, pg3.vector_mask()](2, 4, 6, 8))
+    assert_true(Multivector[pg3, pg3.vector_mask()](1, 2, 3, 4).__mul__(Multivector[pg3, pg3.antiscalar_mask()](1)) == Multivector[pg3, niltrivector_mask](-4, 3, -2))
+
+
+def test_sandwich():
+    alias g3 = Signature(3, 0, 0)
+    assert_true(Multivector[g3, g3.even_mask()](0, 1, 0, 0)(Multivector[g3, g3.vector_mask()](1, 2, 3)) == Multivector[g3, g3.vector_mask()](-1, -2, 3))