


# Imports
import numpy as np






class      UpperCamelCase					:


   '''simple docstring'''







   def __init__(     self   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None		):
        self.set_matricies(red=UpperCamelCase_   ,							green=UpperCamelCase_   ,							blue=UpperCamelCase_   ,							red_edge=UpperCamelCase_   ,							nir=UpperCamelCase_		)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None		):
        if red is not None:
             lowercase_       :Optional[int]     =       red
        if green is not None:
             lowercase_       :List[Any]     =       green
        if blue is not None:
             lowercase_       :Any     =       blue
        if red_edge is not None:
             lowercase_       :Dict     =       red_edge
        if nir is not None:
             lowercase_       :Tuple     =       nir
        return True
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=""   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None		):
        self.set_matricies(red=UpperCamelCase_   ,							green=UpperCamelCase_   ,							blue=UpperCamelCase_   ,							red_edge=UpperCamelCase_   ,							nir=UpperCamelCase_		)
        lowercase_       :Union[str, Any]     =       {
            '''ARVI2''': self.arvaa,
            '''CCCI''': self.ccci,
            '''CVI''': self.cvi,
            '''GLI''': self.gli,
            '''NDVI''': self.ndvi,
            '''BNDVI''': self.bndvi,
            '''redEdgeNDVI''': self.red_edge_ndvi,
            '''GNDVI''': self.gndvi,
            '''GBNDVI''': self.gbndvi,
            '''GRNDVI''': self.grndvi,
            '''RBNDVI''': self.rbndvi,
            '''PNDVI''': self.pndvi,
            '''ATSAVI''': self.atsavi,
            '''BWDRVI''': self.bwdrvi,
            '''CIgreen''': self.ci_green,
            '''CIrededge''': self.ci_rededge,
            '''CI''': self.ci,
            '''CTVI''': self.ctvi,
            '''GDVI''': self.gdvi,
            '''EVI''': self.evi,
            '''GEMI''': self.gemi,
            '''GOSAVI''': self.gosavi,
            '''GSAVI''': self.gsavi,
            '''Hue''': self.hue,
            '''IVI''': self.ivi,
            '''IPVI''': self.ipvi,
            '''I''': self.i,
            '''RVI''': self.rvi,
            '''MRVI''': self.mrvi,
            '''MSAVI''': self.m_savi,
            '''NormG''': self.norm_g,
            '''NormNIR''': self.norm_nir,
            '''NormR''': self.norm_r,
            '''NGRDI''': self.ngrdi,
            '''RI''': self.ri,
            '''S''': self.s,
            '''IF''': self._if,
            '''DVI''': self.dvi,
            '''TVI''': self.tvi,
            '''NDRE''': self.ndre,
        }

        try:
             return funcs[index]()
        except KeyError:
             print('''Index not in the list!'''		)
             return False
   def 		UpperCamelCase  (     self		):
        return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))
   def 		UpperCamelCase  (     self		):
        return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
            (self.nir - self.red) / (self.nir + self.red)
        )
   def 		UpperCamelCase  (     self		):
        return self.nir * (self.red / (self.green**2))
   def 		UpperCamelCase  (     self		):
        return (2 * self.green - self.red - self.blue) / (
            2 * self.green + self.red + self.blue
        )
   def 		UpperCamelCase  (     self		):
        return (self.nir - self.red) / (self.nir + self.red)
   def 		UpperCamelCase  (     self		):
        return (self.nir - self.blue) / (self.nir + self.blue)
   def 		UpperCamelCase  (     self		):
        return (self.redEdge - self.red) / (self.redEdge + self.red)
   def 		UpperCamelCase  (     self		):
        return (self.nir - self.green) / (self.nir + self.green)
   def 		UpperCamelCase  (     self		):
        return (self.nir - (self.green + self.blue)) / (
            self.nir + (self.green + self.blue)
        )
   def 		UpperCamelCase  (     self		):
        return (self.nir - (self.green + self.red)) / (
            self.nir + (self.green + self.red)
        )
   def 		UpperCamelCase  (     self		):
        return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))
   def 		UpperCamelCase  (     self		):
        return (self.nir - (self.green + self.red + self.blue)) / (
            self.nir + (self.green + self.red + self.blue)
        )
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=0.08   ,							UpperCamelCase_=1.22   ,							UpperCamelCase_=0.03		):
        return a * (
            (self.nir - a * self.red - b)
            / (a * self.nir + self.red - a * b + x * (1 + a**2))
        )
   def 		UpperCamelCase  (     self		):
        return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)
   def 		UpperCamelCase  (     self		):
        return (self.nir / self.green) - 1
   def 		UpperCamelCase  (     self		):
        return (self.nir / self.redEdge) - 1
   def 		UpperCamelCase  (     self		):
        return (self.red - self.blue) / self.red
   def 		UpperCamelCase  (     self		):
        lowercase_       :Optional[int]     =       self.ndvi()
        return ((ndvi + 0.5) / (abs(ndvi + 0.5		))) * (abs(ndvi + 0.5		) ** (1 / 2))
   def 		UpperCamelCase  (     self		):
        return self.nir - self.green
   def 		UpperCamelCase  (     self		):
        return 2.5 * (
            (self.nir - self.red) / (self.nir + 6 * self.red - 7.5 * self.blue + 1)
        )
   def 		UpperCamelCase  (     self		):
        lowercase_       :Union[str, Any]     =       (2 * (self.nir**2 - self.red**2) + 1.5 * self.nir + 0.5 * self.red) / (
            self.nir + self.red + 0.5
        )
        return n * (1 - 0.25 * n) - (self.red - 0.125) / (1 - self.red)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=0.16		):
        return (self.nir - self.green) / (self.nir + self.green + y)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=0.5		):
        return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)
   def 		UpperCamelCase  (     self		):
        return np.arctan(
            ((2 * self.red - self.green - self.blue) / 30.5) * (self.green - self.blue)		)
   def 		UpperCamelCase  (     self   ,							UpperCamelCase_=None   ,							UpperCamelCase_=None		):
        return (self.nir - b) / (a * self.red)
   def 		UpperCamelCase  (     self		):
        return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)
   def 		UpperCamelCase  (     self		):
        return (self.red + self.green + self.blue) / 30.5
   def 		UpperCamelCase  (     self		):
        return self.nir / self.red
   def 		UpperCamelCase  (     self		):
        return (self.rvi() - 1) / (self.rvi() + 1)
   def 		UpperCamelCase  (     self		):
        return (
            (2 * self.nir + 1)
            - ((2 * self.nir + 1) ** 2 - 8 * (self.nir - self.red)) ** (1 / 2)
        ) / 2
   def 		UpperCamelCase  (     self		):
        return self.green / (self.nir + self.red + self.green)
   def 		UpperCamelCase  (     self		):
        return self.nir / (self.nir + self.red + self.green)
   def 		UpperCamelCase  (     self		):
        return self.red / (self.nir + self.red + self.green)
   def 		UpperCamelCase  (     self		):
        return (self.green - self.red) / (self.green + self.red)
   def 		UpperCamelCase  (     self		):
        return (self.red - self.green) / (self.red + self.green)
   def 		UpperCamelCase  (     self		):
        lowercase_       :int     =       np.max([np.max(self.red		), np.max(self.green		), np.max(self.blue		)]		)
        lowercase_       :Any     =       np.min([np.min(self.red		), np.min(self.green		), np.min(self.blue		)]		)
        return (max_value - min_value) / max_value
   def 		UpperCamelCase  (     self		):
        return (2 * self.red - self.green - self.blue) / (self.green - self.blue)
   def 		UpperCamelCase  (     self		):
        return self.nir / self.red
   def 		UpperCamelCase  (     self		):
        return (self.ndvi() + 0.5) ** (1 / 2)




   def 		UpperCamelCase  (     self		):
        return (self.nir - self.redEdge) / (self.nir + self.redEdge)





def     UpperCamelCase    (      _a		)					->							int:
     '''simple docstring'''





     assert isinstance(_a       ,		_a		), f"The input value of [n={number}] is not an integer"

     if number == 1:
          return 2
     elif number < 1:
          lowercase_       :str     =       f"The input value of [n={number}] has to be > 0"
          raise ValueError(_a		)
     else:
          lowercase_       :List[str]     =       sylvester(number - 1		)
          lowercase_       :Union[str, Any]     =       num - 1
          lowercase_       :List[str]     =       num
          return lower * upper + 1


if __name__ == "__main__":
   print(f"The 8th number in Sylvester's sequence: {sylvester(8)}")

