{"id":20071999,"url":"https://github.com/ackness/clifford_algebra_pytorch","last_synced_at":"2025-03-02T11:44:34.790Z","repository":{"id":227196878,"uuid":"354033858","full_name":"ackness/clifford_algebra_pytorch","owner":"ackness","description":"Simple pytorch implement to compute basic Clifford algebra (Geometric algebra) operation.","archived":false,"fork":false,"pushed_at":"2021-04-20T06:44:44.000Z","size":9,"stargazers_count":4,"open_issues_count":0,"forks_count":0,"subscribers_count":2,"default_branch":"main","last_synced_at":"2025-01-13T00:19:09.195Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":"Python","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ackness.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2021-04-02T13:53:39.000Z","updated_at":"2024-07-24T13:32:58.000Z","dependencies_parsed_at":null,"dependency_job_id":"ed0553a1-f720-4159-b9ce-3a5e4d269862","html_url":"https://github.com/ackness/clifford_algebra_pytorch","commit_stats":null,"previous_names":["ackness/clifford_algebra_pytorch"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ackness%2Fclifford_algebra_pytorch","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ackness%2Fclifford_algebra_pytorch/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ackness%2Fclifford_algebra_pytorch/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ackness%2Fclifford_algebra_pytorch/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ackness","download_url":"https://codeload.github.com/ackness/clifford_algebra_pytorch/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":241502814,"owners_count":19972957,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2024-11-13T14:33:19.458Z","updated_at":"2025-03-02T11:44:34.761Z","avatar_url":"https://github.com/ackness.png","language":"Python","funding_links":[],"categories":[],"sub_categories":[],"readme":"# clifford_algebra_pytorch\nSimple pytorch implement to compute basic Clifford algebra (Geometric algebra) operation.\n\n## Usage\n\n### Use ga.GA\n\n```python\nimport torch\nfrom ga import GA\n\nga = GA(3)\nx = 3 + ga[1] + 2 * ga[2] - 2 * ga[3] + ga[1, 2] - ga[2, 3] + 2.5 * ga[1, 3] - ga[1, 2, 3]\nprint(x)\nr = x * (~x) * ga.I\nprint(r)\nq = ga.tensor_to_mv(torch.tensor([1, 1, 1, 1]))\nprint(q)\n\n# output\n# 3.0 + 1.0*[e1] + 2.0*[e2] + 1.0*[e1,e2] + -2.0*[e3] + 2.5*[e1,e3] + -1.0*[e2,e3] + -1.0*[e1,e2,e3]\n# -15.0*[e1,e2] + -19.0*[e1,e3] + 2.0*[e2,e3] + 27.25*[e1,e2,e3]\n# 1 + 1*[e1] + 1*[e2] + 1*[e1,e2]\n\n```\n\n### Use mv.MultiVector\n\n```python\nfrom mv import MultiVector\na = MultiVector(4, device='cpu')\na.set_values(torch.tensor([1., 1, 2, 3, 4]), torch.tensor([0, 1, 2, 3, 4]))\nb = MultiVector(4, device='cpu')\nb.set_values(torch.tensor([1., -1]), torch.tensor([1, 2]))\nc = MultiVector(4, device='cpu')\nc.set_values(torch.ones(16, dtype=torch.float32), torch.arange(16))\nprint(a + b)\nprint(a - b)\nprint(a * b)\nprint(a / 2)\n\n# output\n# 1.0 + 2.0*[e1] + 1.0*[e2] + 3.0*[e1,e2] + 4.0*[e3]\n# 1.0 + 3.0*[e2] + 3.0*[e1,e2] + 4.0*[e3]\n# -1.0 + -2.0*[e1] + -4.0*[e2] + -3.0*[e1,e2] + -4.0*[e1,e3] + 4.0*[e2,e3]\n# 0.5 + 0.5*[e1] + 1.0*[e2] + 1.5*[e1,e2] + 2.0*[e3]\n\n```\n\n## Other\n\n\n## Reference\n\nOriginal vanilla python implement: https://github.com/tdvance/GeometricAlgebra\n\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fackness%2Fclifford_algebra_pytorch","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fackness%2Fclifford_algebra_pytorch","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fackness%2Fclifford_algebra_pytorch/lists"}