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Merge pull request #27000 from GenshinImpactStarts:cart_to_polar
[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
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      Patch to opencv_extra has the same branch name.
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2025-03-13 15:56:56 +03:00
.github Removed Android test as it's broken for now. 2025-02-18 12:52:24 +03:00
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