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* support custom sigmas and timesteps, dpm euler

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Co-authored-by: Sayak Paul <spsayakpaul@gmail.com>
Co-authored-by: Benjamin Bossan <BenjaminBossan@users.noreply.github.com>
Co-authored-by: Steven Liu <59462357+stevhliu@users.noreply.github.com>

* DPMMultistep rescale_betas_zero_snr

* DPM upcast samples in step()

* DPM rescale_betas_zero_snr UT

* DPMSolverMulti move sample upcast after model convert

Avoids having to re-use the dtype.

* Add a newline for Ruff

* fix

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Co-authored-by: yiyixuxu <yixu310@gmail,com>
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* stabilize dpmpp for sdxl by using euler at the final step

* add lu's uniform logsnr time steps

* add test

* fix check_copies

* fix tests

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Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* add fast tests for dpm-multi

* add more tests

* style

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Co-authored-by: yiyixuxu <yixu310@gmail,com>

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Co-authored-by: yiyixuxu <yixu310@gmail,com>
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* add SDE variant of DPM-Solver and DPM-Solver++

* add test

* fix typo

* fix typo

* fix multistep dpmsolver for cosine schedule (deepfloy-if)

* fix a typo

* Update src/diffusers/schedulers/scheduling_dpmsolver_multistep.py
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* Update src/diffusers/schedulers/scheduling_dpmsolver_multistep.py
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* Update src/diffusers/schedulers/scheduling_dpmsolver_multistep.py
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* Update src/diffusers/schedulers/scheduling_dpmsolver_multistep.py
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* Update src/diffusers/schedulers/scheduling_dpmsolver_multistep.py
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* update all dpmsolver (singlestep, multistep, dpm, dpm++) for cosine noise schedule

* add test, fix style

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Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* [2737]: Add Karras DPMSolverMultistepScheduler

* [2737]: Add Karras DPMSolverMultistepScheduler

* Add test

* Apply suggestions from code review
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

* fix: repo consistency.

* remove Copied from statement from the set_timestep method.

* fix: test

* Empty commit.
Co-authored-by: njindal <njindal@adobe.com>

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Co-authored-by: njindal <njindal@adobe.com>
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>
Co-authored-by: Sayak Paul <spsayakpaul@gmail.com>

dynamic threshold sampling bug fix and docs

* up

* correct some

* up

* finish