1  import sys
   2  from typing import Iterable, Optional, SupportsFloat, SupportsInt, Tuple, overload
   3  
   4  e: float
   5  pi: float
   6  if sys.version_info >= (3, 5):
   7      inf: float
   8      nan: float
   9  if sys.version_info >= (3, 6):
  10      tau: float
  11  
  12  def acos(__x: SupportsFloat) -> float: ...
  13  def acosh(__x: SupportsFloat) -> float: ...
  14  def asin(__x: SupportsFloat) -> float: ...
  15  def asinh(__x: SupportsFloat) -> float: ...
  16  def atan(__x: SupportsFloat) -> float: ...
  17  def atan2(__y: SupportsFloat, __x: SupportsFloat) -> float: ...
  18  def atanh(__x: SupportsFloat) -> float: ...
  19  
  20  if sys.version_info >= (3,):
  21      def ceil(__x: SupportsFloat) -> int: ...
  22  
  23  else:
  24      def ceil(__x: SupportsFloat) -> float: ...
  25  
  26  if sys.version_info >= (3, 8):
  27      def comb(__n: int, __k: int) -> int: ...
  28  
  29  def copysign(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
  30  def cos(__x: SupportsFloat) -> float: ...
  31  def cosh(__x: SupportsFloat) -> float: ...
  32  def degrees(__x: SupportsFloat) -> float: ...
  33  
  34  if sys.version_info >= (3, 8):
  35      def dist(__p: Iterable[SupportsFloat], __q: Iterable[SupportsFloat]) -> float: ...
  36  
  37  def erf(__x: SupportsFloat) -> float: ...
  38  def erfc(__x: SupportsFloat) -> float: ...
  39  def exp(__x: SupportsFloat) -> float: ...
  40  def expm1(__x: SupportsFloat) -> float: ...
  41  def fabs(__x: SupportsFloat) -> float: ...
  42  def factorial(__x: SupportsInt) -> int: ...
  43  
  44  if sys.version_info >= (3,):
  45      def floor(__x: SupportsFloat) -> int: ...
  46  
  47  else:
  48      def floor(__x: SupportsFloat) -> float: ...
  49  
  50  def fmod(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
  51  def frexp(__x: SupportsFloat) -> Tuple[float, int]: ...
  52  def fsum(__seq: Iterable[float]) -> float: ...
  53  def gamma(__x: SupportsFloat) -> float: ...
  54  
  55  if sys.version_info >= (3, 9):
  56      def gcd(*integers: int) -> int: ...
  57  
  58  elif sys.version_info >= (3, 5):
  59      def gcd(__x: int, __y: int) -> int: ...
  60  
  61  if sys.version_info >= (3, 8):
  62      def hypot(*coordinates: SupportsFloat) -> float: ...
  63  
  64  else:
  65      def hypot(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
  66  
  67  if sys.version_info >= (3, 5):
  68      def isclose(a: SupportsFloat, b: SupportsFloat, *, rel_tol: SupportsFloat = ..., abs_tol: SupportsFloat = ...) -> bool: ...
  69  
  70  def isinf(__x: SupportsFloat) -> bool: ...
  71  
  72  if sys.version_info >= (3,):
  73      def isfinite(__x: SupportsFloat) -> bool: ...
  74  
  75  def isnan(__x: SupportsFloat) -> bool: ...
  76  
  77  if sys.version_info >= (3, 8):
  78      def isqrt(__n: int) -> int: ...
  79  
  80  if sys.version_info >= (3, 9):
  81      def lcm(*integers: int) -> int: ...
  82  
  83  def ldexp(__x: SupportsFloat, __i: int) -> float: ...
  84  def lgamma(__x: SupportsFloat) -> float: ...
  85  def log(x: SupportsFloat, base: SupportsFloat = ...) -> float: ...
  86  def log10(__x: SupportsFloat) -> float: ...
  87  def log1p(__x: SupportsFloat) -> float: ...
  88  
  89  if sys.version_info >= (3, 3):
  90      def log2(__x: SupportsFloat) -> float: ...
  91  
  92  def modf(__x: SupportsFloat) -> Tuple[float, float]: ...
  93  
  94  if sys.version_info >= (3, 9):
  95      def nextafter(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
  96  
  97  if sys.version_info >= (3, 8):
  98      def perm(__n: int, __k: Optional[int] = ...) -> int: ...
  99  
 100  def pow(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
 101  
 102  if sys.version_info >= (3, 8):
 103      @overload
 104      def prod(__iterable: Iterable[int], *, start: int = ...) -> int: ...  # type: ignore
 105      @overload
 106      def prod(__iterable: Iterable[SupportsFloat], *, start: SupportsFloat = ...) -> float: ...
 107  
 108  def radians(__x: SupportsFloat) -> float: ...
 109  
 110  if sys.version_info >= (3, 7):
 111      def remainder(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
 112  
 113  def sin(__x: SupportsFloat) -> float: ...
 114  def sinh(__x: SupportsFloat) -> float: ...
 115  def sqrt(__x: SupportsFloat) -> float: ...
 116  def tan(__x: SupportsFloat) -> float: ...
 117  def tanh(__x: SupportsFloat) -> float: ...
 118  def trunc(__x: SupportsFloat) -> int: ...
 119  
 120  if sys.version_info >= (3, 9):
 121      def ulp(__x: SupportsFloat) -> float: ...
 122