




'''simple docstring'''
def     snake_case_  (       a__		:     Optional[Any]   ,a__		:     List[str]      ):



				"""simple docstring"""




				__lowercase          =						(boundary[1] - boundary[0]) / steps
				__lowercase          =						boundary[0]
				__lowercase          =						boundary[1]
				__lowercase          =						make_points(__UpperCamelCase   ,__UpperCamelCase   ,__UpperCamelCase      )
				__lowercase          =						0.0
				y += (h / 3.0) * f(__UpperCamelCase      )
				__lowercase          =						2
				for i in x_i:
								y += (h / 3) * (4 - 2 * (cnt % 2)) * f(__UpperCamelCase      )
								cnt += 1
				y += (h / 3.0) * f(__UpperCamelCase      )
				return y
def     snake_case_  (       a__		:     Dict   ,a__		:     Any   ,a__		:     Union[str, Any]      ):



				"""simple docstring"""




				__lowercase          =						a + h
				while x < (b - h):
								yield x
								__lowercase          =						x + h
def     snake_case_  (       a__		:     Union[str, Any]      ):  # enter your function here



				"""simple docstring"""




				__lowercase          =						(x - 0) * (x - 0)
				return y
def     snake_case_  (       ):



				"""simple docstring"""




				__lowercase          =						0.0  # Lower bound of integration
				__lowercase          =						1.0  # Upper bound of integration
				__lowercase          =						1_0.0  # define number of steps or resolution
				__lowercase          =						[a, b]  # define boundary of integration
				__lowercase          =						method_a(__UpperCamelCase   ,__UpperCamelCase      )
				print(f'y = {y}'      )


if __name__ == "__main__":
		main()










'''simple docstring'''
import random
from typing import List, Optional, Union

import numpy as np
import torch

from ..state import AcceleratorState
from .constants import CUDA_DISTRIBUTED_TYPES
from .dataclasses import DistributedType, RNGType
from .imports import is_npu_available, is_tpu_available, is_xpu_available


if is_tpu_available(check_device=False):
  import torch_xla.core.xla_model as xm
def     snake_case_  (       a__		:     int   ,a__		:     bool = False      ):



    """simple docstring"""




    if device_specific:
        seed += AcceleratorState().process_index
    random.seed(a__      )
    np.random.seed(a__      )
    torch.manual_seed(a__      )
    if is_xpu_available():
        torch.xpu.manual_seed_all(a__      )
    elif is_npu_available():
        torch.npu.manual_seed_all(a__      )
    else:
        torch.cuda.manual_seed_all(a__      )
    # ^^ safe to call this function even if cuda is not available
    if is_tpu_available():
        xm.set_rng_state(a__      )
def     snake_case_  (       a__		:     Optional[RNGType] = None   ,a__		:     Optional[torch.Generator] = None      ):



    """simple docstring"""




    if rng_type == RNGType.TORCH:
        __lowercase          =						torch.get_rng_state()
    elif rng_type == RNGType.CUDA:
        __lowercase          =						torch.cuda.get_rng_state()
    elif rng_type == RNGType.XLA:
        assert is_tpu_available(), "Can't synchronize XLA seeds on an environment without TPUs."
        __lowercase          =						torch.tensor(xm.get_rng_state()      )
    elif rng_type == RNGType.NPU:
        assert is_npu_available(), "Can't synchronize NPU seeds on an environment without NPUs."
        __lowercase          =						torch.npu.get_rng_state()
    elif rng_type == RNGType.XPU:
        assert is_xpu_available(), "Can't synchronize XPU seeds on an environment without XPUs."
        __lowercase          =						torch.xpu.get_rng_state()
    elif rng_type == RNGType.GENERATOR:
        assert generator is not None, "Need a generator to synchronize its seed."
        __lowercase          =						generator.get_state()

    # Broadcast the rng state from device 0 to other devices
    __lowercase          =						AcceleratorState()
    if state.distributed_type == DistributedType.TPU:
        __lowercase          =						rng_state.to(xm.xla_device()      )
        xm.collective_broadcast([rng_state]      )
        xm.mark_step()
        __lowercase          =						rng_state.cpu()
    elif (
        state.distributed_type in CUDA_DISTRIBUTED_TYPES
        or state.distributed_type == DistributedType.MULTI_NPU
        or state.distributed_type == DistributedType.MULTI_XPU
    ):
        __lowercase          =						rng_state.to(state.device      )
        torch.distributed.broadcast(a__   ,0      )
        __lowercase          =						rng_state.cpu()
    elif state.distributed_type == DistributedType.MULTI_CPU:
        torch.distributed.broadcast(a__   ,0      )

    # Set the broadcast rng state
    if rng_type == RNGType.TORCH:
        torch.set_rng_state(a__      )
    elif rng_type == RNGType.CUDA:
        torch.cuda.set_rng_state(a__      )
    elif rng_type == RNGType.NPU:
        torch.npu.set_rng_state(a__      )
    elif rng_type == RNGType.XPU:
        torch.xpu.set_rng_state(a__      )
    elif rng_type == RNGType.XLA:
        xm.set_rng_state(rng_state.item()      )
    elif rng_type == RNGType.GENERATOR:
        generator.set_state(a__      )



def     snake_case_  (       a__		:     List[Union[str, RNGType]]   ,a__		:     Optional[torch.Generator] = None      ):



    """simple docstring"""




    for rng_type in rng_types:
        synchronize_rng_state(RNGType(a__      )   ,generator=a__      )




