


'''simple docstring'''

from math import radians as angle_to_radians
from math import sin

# Acceleration Constant on Earth (unit m/s^2)
lowerCamelCase							:       Tuple  						=     9.8_0_6_6_5

def _SCREAMING_SNAKE_CASE				(A  ,			A	)	->	None:






       """simple docstring"""







       if not isinstance(A  ,			(int, float)	):
              raise TypeError('''Invalid velocity. Should be a positive number.'''	)

       if not isinstance(A  ,			(int, float)	):
              raise TypeError('''Invalid angle. Range is 1-90 degrees.'''	)

       # Ensure valid angle
       if angle > 90 or angle < 1:
              raise ValueError('''Invalid angle. Range is 1-90 degrees.'''	)

       # Ensure valid velocity
       if init_velocity < 0:
              raise ValueError('''Invalid velocity. Should be a positive number.'''	)

def _SCREAMING_SNAKE_CASE				(A  ,			A	)	->	float:






       """simple docstring"""







       check_args(A  ,			A	)
       lowercase__				      =			angle_to_radians(2 * angle	)
       return round(init_velocity**2 * sin(A	) / g  ,			2	)

def _SCREAMING_SNAKE_CASE				(A  ,			A	)	->	float:






       """simple docstring"""







       check_args(A  ,			A	)
       lowercase__				      =			angle_to_radians(A	)
       return round(init_velocity**2 * sin(A	) ** 2 / (2 * g)  ,			2	)

def _SCREAMING_SNAKE_CASE				(A  ,			A	)	->	float:






       """simple docstring"""







       check_args(A  ,			A	)
       lowercase__				      =			angle_to_radians(A	)
       return round(2 * init_velocity * sin(A	) / g  ,			2	)

def _SCREAMING_SNAKE_CASE				()	->	None:






       """simple docstring"""







       lowercase__      ,lowercase__				      =			25, 20
       assert horizontal_distance(A  ,			A	) == 40.97
       assert max_height(A  ,			A	) == 3.73
       assert total_time(A  ,			A	) == 1.74


if __name__ == "__main__":
 from doctest import testmod

 testmod()

 # Get input from user
 lowerCamelCase							:       Optional[Any]  						=     float(input('Initial Velocity: ').strip())

 # Get input from user
 lowerCamelCase							:       Dict  						=     float(input('angle: ').strip())

 # Print results
 print()
 print('Results: ')
 print(f"""Horizontal Distance: {horizontal_distance(init_vel, angle)!s} [m]""")
 print(f"""Maximum Height: {max_height(init_vel, angle)!s} [m]""")
 print(f"""Total Time: {total_time(init_vel, angle)!s} [s]""")








'''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 _SCREAMING_SNAKE_CASE				(A  ,			A = False	)	->	Tuple:






       """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 _SCREAMING_SNAKE_CASE				(A = None  ,			A = None	)	->	Tuple:






       """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 _SCREAMING_SNAKE_CASE				(A  ,			A = None	)	->	int:






       """simple docstring"""







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




