null.h 995 B

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  1. // This file is part of libigl, a simple c++ geometry processing library.
  2. //
  3. // Copyright (C) 2015 Alec Jacobson <alecjacobson@gmail.com>
  4. //
  5. // This Source Code Form is subject to the terms of the Mozilla Public License
  6. // v. 2.0. If a copy of the MPL was not distributed with this file, You can
  7. // obtain one at http://mozilla.org/MPL/2.0/.
  8. #ifndef IGL_NULL_H
  9. #define IGL_NULL_H
  10. #include "igl_inline.h"
  11. #include <Eigen/Dense>
  12. namespace igl
  13. {
  14. // Like MATLAB's null
  15. //
  16. // Compute a basis for the null space for the given matrix A: the columns of
  17. // the output N form a basis for the space orthogonal to that spanned by the
  18. // rows of A.
  19. //
  20. // Inputs:
  21. // A m by n matrix
  22. // Outputs:
  23. // N n by r matrix, where r is the row rank of A
  24. template <typename DerivedA, typename DerivedN>
  25. IGL_INLINE void null(
  26. const Eigen::PlainObjectBase<DerivedA> & A,
  27. Eigen::PlainObjectBase<DerivedN> & N);
  28. }
  29. #ifndef IGL_STATIC_LIBRARY
  30. # include "null.cpp"
  31. #endif
  32. #endif