[HAL RVV] reuse atan | impl cart_to_polar | add perf test #27000
Implement through the existing `cv_hal_cartToPolar32f` and `cv_hal_cartToPolar64f` interfaces.
Add `cartToPolar` performance tests.
cv_hal_rvv::fast_atan is modified to make it more reusable because it's needed in cartToPolar.
**UPDATE**: UI enabled. Since the vec type of RVV can't be stored in struct. UI implementation of `v_atan_f32` is modified. Both `fastAtan` and `cartToPolar` are affected so the test result for `atan` is also appended. I have tested the modified UI on RVV and AVX2 and no regressions appears.
Perf test done on MUSE-PI. AVX2 test done on Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz.
```sh
$ opencv_test_core --gtest_filter="*CartToPolar*:*Core_CartPolar_reverse*:*Phase*"
$ opencv_perf_core --gtest_filter="*CartToPolar*:*phase*" --perf_min_samples=300 --perf_force_samples=300
```
Test result between enabled UI and HAL:
```
Name of Test ui rvv rvv
vs
ui
(x-factor)
CartToPolar::CartToPolarFixture::(127x61, 32FC1) 0.106 0.059 1.80
CartToPolar::CartToPolarFixture::(127x61, 64FC1) 0.155 0.070 2.20
CartToPolar::CartToPolarFixture::(640x480, 32FC1) 4.188 2.317 1.81
CartToPolar::CartToPolarFixture::(640x480, 64FC1) 6.593 2.889 2.28
CartToPolar::CartToPolarFixture::(1280x720, 32FC1) 12.600 7.057 1.79
CartToPolar::CartToPolarFixture::(1280x720, 64FC1) 19.860 8.797 2.26
CartToPolar::CartToPolarFixture::(1920x1080, 32FC1) 28.295 15.809 1.79
CartToPolar::CartToPolarFixture::(1920x1080, 64FC1) 44.573 19.398 2.30
phase32f::VectorLength::128 0.002 0.002 1.20
phase32f::VectorLength::1000 0.008 0.006 1.32
phase32f::VectorLength::131072 1.061 0.731 1.45
phase32f::VectorLength::524288 3.997 2.976 1.34
phase32f::VectorLength::1048576 8.001 5.959 1.34
phase64f::VectorLength::128 0.002 0.002 1.33
phase64f::VectorLength::1000 0.012 0.008 1.58
phase64f::VectorLength::131072 1.648 0.931 1.77
phase64f::VectorLength::524288 6.836 3.837 1.78
phase64f::VectorLength::1048576 14.060 7.540 1.86
```
Test result before and after enabling UI on RVV:
```
Name of Test perf perf perf
ui ui ui
orig pr pr
vs
perf
ui
orig
(x-factor)
CartToPolar::CartToPolarFixture::(127x61, 32FC1) 0.141 0.106 1.33
CartToPolar::CartToPolarFixture::(127x61, 64FC1) 0.187 0.155 1.20
CartToPolar::CartToPolarFixture::(640x480, 32FC1) 5.990 4.188 1.43
CartToPolar::CartToPolarFixture::(640x480, 64FC1) 8.370 6.593 1.27
CartToPolar::CartToPolarFixture::(1280x720, 32FC1) 18.214 12.600 1.45
CartToPolar::CartToPolarFixture::(1280x720, 64FC1) 25.365 19.860 1.28
CartToPolar::CartToPolarFixture::(1920x1080, 32FC1) 40.437 28.295 1.43
CartToPolar::CartToPolarFixture::(1920x1080, 64FC1) 56.699 44.573 1.27
phase32f::VectorLength::128 0.003 0.002 1.54
phase32f::VectorLength::1000 0.016 0.008 1.90
phase32f::VectorLength::131072 2.048 1.061 1.93
phase32f::VectorLength::524288 8.219 3.997 2.06
phase32f::VectorLength::1048576 16.426 8.001 2.05
phase64f::VectorLength::128 0.003 0.002 1.44
phase64f::VectorLength::1000 0.020 0.012 1.60
phase64f::VectorLength::131072 2.621 1.648 1.59
phase64f::VectorLength::524288 10.780 6.836 1.58
phase64f::VectorLength::1048576 22.723 14.060 1.62
```
Test result before and after modifying UI on AVX2:
```
Name of Test perf perf perf
avx2 avx2 avx2
orig pr pr
vs
perf
avx2
orig
(x-factor)
CartToPolar::CartToPolarFixture::(127x61, 32FC1) 0.006 0.005 1.14
CartToPolar::CartToPolarFixture::(127x61, 64FC1) 0.010 0.009 1.08
CartToPolar::CartToPolarFixture::(640x480, 32FC1) 0.273 0.264 1.03
CartToPolar::CartToPolarFixture::(640x480, 64FC1) 0.511 0.487 1.05
CartToPolar::CartToPolarFixture::(1280x720, 32FC1) 0.760 0.723 1.05
CartToPolar::CartToPolarFixture::(1280x720, 64FC1) 2.009 1.937 1.04
CartToPolar::CartToPolarFixture::(1920x1080, 32FC1) 1.996 1.923 1.04
CartToPolar::CartToPolarFixture::(1920x1080, 64FC1) 5.721 5.509 1.04
phase32f::VectorLength::128 0.000 0.000 0.98
phase32f::VectorLength::1000 0.001 0.001 0.97
phase32f::VectorLength::131072 0.105 0.111 0.95
phase32f::VectorLength::524288 0.402 0.402 1.00
phase32f::VectorLength::1048576 0.775 0.767 1.01
phase64f::VectorLength::128 0.000 0.000 1.00
phase64f::VectorLength::1000 0.001 0.001 1.01
phase64f::VectorLength::131072 0.163 0.162 1.01
phase64f::VectorLength::524288 0.669 0.653 1.02
phase64f::VectorLength::1048576 1.660 1.634 1.02
```
### Pull Request Readiness Checklist
See details at https://github.com/opencv/opencv/wiki/How_to_contribute#making-a-good-pull-request
- [x] I agree to contribute to the project under Apache 2 License.
- [x] To the best of my knowledge, the proposed patch is not based on a code under GPL or another license that is incompatible with OpenCV
- [ ] The PR is proposed to the proper branch
- [ ] There is a reference to the original bug report and related work
- [ ] There is accuracy test, performance test and test data in opencv_extra repository, if applicable
Patch to opencv_extra has the same branch name.
- [ ] The feature is well documented and sample code can be built with the project CMake
[HAL RVV] impl magnitude | add perf test #27002
Implement through the existing `cv_hal_magnitude32f` and `cv_hal_magnitude64f` interfaces.
**UPDATE**: UI is enabled. The only difference between UI and HAL now is HAL use a approximate `sqrt`.
Perf test done on MUSE-PI.
```sh
$ opencv_test_core --gtest_filter="*Magnitude*"
$ opencv_perf_core --gtest_filter="*Magnitude*" --perf_min_samples=300 --perf_force_samples=300
```
Test result between enabled UI and HAL:
```
Name of Test ui rvv rvv
vs
ui
(x-factor)
Magnitude::MagnitudeFixture::(127x61, 32FC1) 0.029 0.016 1.75
Magnitude::MagnitudeFixture::(127x61, 64FC1) 0.057 0.036 1.57
Magnitude::MagnitudeFixture::(640x480, 32FC1) 1.063 0.648 1.64
Magnitude::MagnitudeFixture::(640x480, 64FC1) 2.261 1.530 1.48
Magnitude::MagnitudeFixture::(1280x720, 32FC1) 3.261 2.118 1.54
Magnitude::MagnitudeFixture::(1280x720, 64FC1) 6.802 4.682 1.45
Magnitude::MagnitudeFixture::(1920x1080, 32FC1) 7.287 4.738 1.54
Magnitude::MagnitudeFixture::(1920x1080, 64FC1) 15.226 10.334 1.47
```
Test result before and after enabling UI:
```
Name of Test orig pr pr
vs
orig
(x-factor)
Magnitude::MagnitudeFixture::(127x61, 32FC1) 0.032 0.029 1.11
Magnitude::MagnitudeFixture::(127x61, 64FC1) 0.067 0.057 1.17
Magnitude::MagnitudeFixture::(640x480, 32FC1) 1.228 1.063 1.16
Magnitude::MagnitudeFixture::(640x480, 64FC1) 2.786 2.261 1.23
Magnitude::MagnitudeFixture::(1280x720, 32FC1) 3.762 3.261 1.15
Magnitude::MagnitudeFixture::(1280x720, 64FC1) 8.549 6.802 1.26
Magnitude::MagnitudeFixture::(1920x1080, 32FC1) 8.408 7.287 1.15
Magnitude::MagnitudeFixture::(1920x1080, 64FC1) 18.884 15.226 1.24
```
### Pull Request Readiness Checklist
See details at https://github.com/opencv/opencv/wiki/How_to_contribute#making-a-good-pull-request
- [x] I agree to contribute to the project under Apache 2 License.
- [x] To the best of my knowledge, the proposed patch is not based on a code under GPL or another license that is incompatible with OpenCV
- [ ] The PR is proposed to the proper branch
- [ ] There is a reference to the original bug report and related work
- [ ] There is accuracy test, performance test and test data in opencv_extra repository, if applicable
Patch to opencv_extra has the same branch name.
- [ ] The feature is well documented and sample code can be built with the project CMake
Perf tests for SVD and solve() created #25450fixes#25336
### Pull Request Readiness Checklist
See details at https://github.com/opencv/opencv/wiki/How_to_contribute#making-a-good-pull-request
- [x] I agree to contribute to the project under Apache 2 License.
- [x] To the best of my knowledge, the proposed patch is not based on a code under GPL or another license that is incompatible with OpenCV
- [x] The PR is proposed to the proper branch
- [x] There is a reference to the original bug report and related work
- [x] There is accuracy test, performance test and test data in opencv_extra repository, if applicable
Patch to opencv_extra has the same branch name.
- [x] The feature is well documented and sample code can be built with the project CMake
- removed tr1 usage (dropped in C++17)
- moved includes of vector/map/iostream/limits into ts.hpp
- require opencv_test + anonymous namespace (added compile check)
- fixed norm() usage (must be from cvtest::norm for checks) and other conflict functions
- added missing license headers
