1. Add CUDADenseQR & tests.
CUDADenseQR uses the cuSolverDN LAPACK implementation
of QR factorization. A key limitation, however, is that
this solver does not perform singularity checking --
this is because cuSolverDN does not have a trtrs
implementation; we instead use cuBLAS' trsv for
backsubstitution.
2. All CPU -> GPU memory transfers are now async, and both
CUDADenseQR and CUDADenseCholesky explicitly manage their
own streams for async operations.
3. Simplified CUDADenseCholesky to only use the legacy 32-bit
cuSolverDN API.
Change-Id: I2a9b7b65469658ddfe33b5b2a3892c8744d6e437
1. Add EigenDenseQR & tests.
This implementation now uses an in place decomposition,
which means that we are not allocating, deallocating
memory every call.
2. Add LAPACKDenseQR and tests.
The LAPACK implementation instead of using dgels which is a
routine which does the factorization and solve in one
call, now uses dgeqrf for factorization and then
dormqr and dtrtrs for solving. This allows us to
have a factorize and solve interface like DenseCholesky.
And opens the door to iterative refinement and mixed
precision solves.
3. The refactor also allows us to simplify the interface to
DenseSparseMatrix considerably. The internals of this
class were complicated because we had the AppendDiagonal
and RemoveDiagonal methods and we did not want to allocate
deallocate memory every call. But since we pay the cost
of the copy anyways, we can just hold that buffer
in DenseQRSolver.
4. Delete lapack.cc/h
5. The net result is that everything seems to be a bit faster.
For LAPACK we are not doing some of the scaling work that
dgels was doing. For Eigen I think it maybe the inplace
decomposition.
Benchmark Time CPU Time Old Time New CPU Old CPU New
----------------------------------------------------------------------------------------------------------------------------------------------------------
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/1/1 -0.1154 -0.1159 692 612 691 611
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/2/1 -0.1601 -0.1553 717 603 712 601
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/3/1 -0.1673 -0.1575 733 610 724 610
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/6/2 -0.1008 -0.1003 886 797 884 796
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/10/3 -0.1489 -0.1514 1283 1092 1281 1087
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/12/4 -0.1040 -0.1104 1556 1394 1553 1381
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/20/5 -0.0007 -0.0097 1911 1910 1908 1890
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/40/5 -0.1033 -0.1022 2981 2673 2957 2655
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/100/10 -0.0147 +0.0015 9275 9138 9026 9040
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/200/10 -0.1408 -0.1284 15093 12968 14778 12880
BM_DenseSolver<ceres::EIGEN, ceres::DENSE_QR>/200/20 -0.0310 -0.0355 38973 37765 38837 37460
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/1/1 -0.1228 -0.1256 736 646 731 640
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/2/1 -0.1401 -0.1396 740 636 735 633
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/3/1 -0.1731 -0.1695 744 615 738 613
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/6/2 -0.1399 -0.1408 1121 965 1113 956
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/10/3 -0.1110 -0.1145 1571 1397 1560 1382
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/12/4 -0.1411 -0.1417 2006 1722 1993 1710
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/20/5 -0.1740 -0.1729 2741 2264 2724 2253
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/40/5 -0.0966 -0.1123 3462 3128 3425 3040
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/100/10 -0.0387 -0.0998 10365 9964 10339 9307
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/200/10 -0.2044 -0.2049 16031 12754 15998 12720
BM_DenseSolver<ceres::LAPACK, ceres::DENSE_QR>/200/20 -0.2391 -0.2386 35777 27223 35716 27193
Change-Id: I782f0d7664efe1435eebda92ddf47a0fe66c9c72
1. Add function_tolerance based termination, updating the
termination logic to be in line with Ceres.
2. Replace the use of "error" with "residuals" in the code.
Change-Id: I3fd543f3a8226fe7f07eeec358559cba934679b2
This is needed to add a layer of indirection which will allow
us to use gflags in the public version and absl inside Google.
Change-Id: I32f3da23200a01c9b658bbf8aaa66cb8fddc2cc3
- Change formatting standard to Cpp11. Main difference is not having
the space between two closing >> for nested templates. We don't
choose c++14, because older versions of clang-format (version 9
and earlier) don't know this value yet, and it doesn't make a
difference in the formatting.
- Apply clang-format to all (non generated) internal source files.
- Manually fix some code sections (clang-format on/off) and c-strings
- Exclude some embedded external files with very different formatting
(gtest/gmock)
- Add script to format all source files
Change-Id: Ic6cea41575ad6e37c9e136dbce176b0d505dc44d
This is mostly just applying the existing clang format config, except:
- Use NOLINT on overlong comment lines.
- Wrap some sections in 'clang-format off' / 'clang format on'.
- Manually split or join some multi-line strings.
Change-Id: Ia1a40eeb92112e12c3a169309afe087af55b2f4f
This commit includes the following:
- Changes to CMake to make it safer to see which compiler flags are supported,
so this way we do not need to worry about version checks in CMake.
- Unix platforms (which includes both Linux and Apple as far as i can tell)
will now enable -Wmissing-declarations warning for the whole Ceres.
- Changes in all sources to solve missing declaration warning. In most cases
it was either matter of using static qualifier or moving functions to an
anonymous namespace.
In one case the function got removed, since it seems to be unused.
Additionally, in slam examples there was a non-inlined function implementation
in a header, which is a direct way to cause linking errors if other .cc file
will include that helper header.
- All third party sources (which is currently only gmock) has this extra
paranoid warning disabled.
This warning is important in the following cases:
- Detect helper functions which are not needed anymore.
- Avoid unnoticed pollution of namespace.
- Avoid bad level calls.
- Avoid missing updates in header files after changes in implementation file.
- Helps integrating Ceres into software where paranoid warnings are important.
Change-Id: I9b1044aced3910d8c6b2356cfe2bf57f3c8c58db
1. Default linear solver is Eigen::LDLT
2. Options::max_iterations -> Options::max_num_iterations
3. Options::error_threshold -> Options::cost_threshold
4. Options::relative_step_threshold -> Options::parameter_threshold
5. Options::initial_scale_factor -> Options::initial_trust_region_radius
6. The default values of the above parameters have been changed
to match those in ceres::Solver::Options
7. Status::RUNNING has been removed
8. Update now returns a bool instead of a Status enum and
the status handling has been included in the main loop.
9. Summary::gradient_norm has been changed to Summary::gradient_max_norm
to match the convergence test
10. A member variable cost_ has been added which is computed by Update
11. The test for parameter_tolerance based convergence is made
more robust near zero.
12. Use of double has been replaced by Scalar.
13. Minor clang-formatting
Change-Id: I3cb0e2fd0a0204476bb8718761dc740cdf5e42ce
Binary operations between Jets and doubles are well defined
and should not require an explicit conversion to Jets to work.
This was an oversight earlier and lead to overzealous conversions
all over our in our example code.
Change-Id: I1799770818e136edfc0a5802d86037ce9aec4923
NIST recommends greater than 4 digits rather than greater than
or equal to 4 digits to declare that the solve was successful.
Change-Id: I5c65e6e791508b95b692c23dafd3833d73cd0487
This method numerically computes function derivatives in different
scales, extrapolating between intermediate results to conserve function
evaluations. Adaptive differentiation is essential to produce accurate
results for functions with noisy derivatives.
Full changelist:
-Created a new type of NumericDiffMethod (RIDDERS).
-Implemented EvaluateRiddersJacobianColumn in NumericDiff.
-Created unit tests with f(x) = x^2 + [random noise] and
f(x) = exp(x).
Change-Id: I2d6e924d7ff686650272f29a8c981351e6f72091
Since Ceres is moving to using GitHub for issues, and the Google
Code URL in the current copyright header will soon become invalid,
update all the headers.
Change-Id: I1fce70375d1bcf098591f07b4d8f01a5c1e0789c
For historical reasons we had a "using namespace std;" in port.h. This
is generally a bad idea. So removing it and along the way doing a bunch
of cpplint cleanup.
Change-Id: Ia125601a55ae62695e247fb0250df4c6f86c46c6
- At version 2.1, gflags changed from using the google namespace, to
using gflags by default. However, it can be configured at build time
to be something else (which would be google for legacy compatibility
unless you were evil).
- Ceres previously assumed that gflags was in the google namespace.
- Now, FindGFlags.cmake extracts the namespace when gflags.h is found
and saves it in GFLAGS_NAMESPACE.
- When building the tests and examples that require gflags,
CERES_GFLAGS_NAMESPACE is defined to be the detected namespace, and
all tests/examples now use CERES_GFLAGS_NAMESPACE:: instead of
google:: when calling gflags functions.
Change-Id: Ia333df7a7e2f08ba9f26bbd339c3a785b88f04c4
1. Rename SolverTerminationType to TerminationType.
2. Consolidate the enum as
a. CONVERGENCE - subsumes FUNCTION_TOLERANCE, PARAMETER_TOLERANCE and GRADIENT_TOLERANCE
b. NO_CONVERGENCE
c. FAILURE - captures all kinds of failures including DID_NOT_RUN.
d. USER_SUCCESS
e. USER_FAILURE
3. Solver::Summary::error is renamed to be Solver::Summary::message, to both
reduce confusion as well as capture its true meaning.
Change-Id: I27a382e66e67f5a4750d0ee914d941f6b53c326d
Previously, the return status was ignored, which meant that e.g. a
numerical failure (which returns 0 final error) would be counted as
correct answer (as the final error is at least as good as the certified
error).
Change-Id: Ia627d5fadf9b20100e628519af794ce0c0b195f4
More flexible testing.
Read and parse the certified cost value from the data file.
Remove the ugly hack for computing the certified cost.
Refactored the flags parsing logic
Change-Id: I8f2e6be183b758b2453302fcdc6696bfa0db5eb8
Extend nist.cc to test more nonlinear and linear solvers.
(Thanks to Markus Moll for finding the Roszman1 bug)
Change-Id: I92b4bab0771de85f7fe711fb0853f155991f4aaf
1. CostFunction returning false is handled better.
If only the cost is being evaluated, it is possible to
use the false value as an infinite value signal/outside
a region of validity. This allows a weak form of constraint
handling. Useful for example in handling infinities.
2. Changed the way how the slop around zero when model_cost
is larger than the current cost. Relative instead of absolute
tolerances are used. The same logic is propagated how the
corresponding clamping of the model_cost is done.
3. Fixed a minor indexing bug in nist.cc.
4. Some minor logging fixes to nist.cc to make it more
compatible with the rest of ceres.
Together these changes, take the successful solve count from
41/54 to 46/54 and eliminate all NUMERICAL_FAILURE problems.
Change-Id: If94170ea4731af5b243805c0200963dd31aa94a7