#! /usr/bin/env python
#
def c8_sqrt ( c ):

#*****************************************************************************80
#
## C8_SQRT returns the principal square root of a C8.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license.
#
#  Modified:
#
#    10 February 2015
#
#  Author:
#
#    John Burkardt
#
#  Parameters:
#
#    Input, complex C, the number whose square root is desired.
#
#    Output, complex VALUE, the square root of X.
#
  import numpy as np
  from c8_arg import c8_arg
  from c8_mag import c8_mag

  argument = c8_arg ( c )
  magnitude = c8_mag ( c );

  value = np.sqrt ( magnitude ) \
    * complex ( np.cos ( argument / 2.0 ), np.sin ( argument / 2.0 ) )

  return value

def c8_sqrt_test ( ):

#*****************************************************************************80
#
## C8_SQRT_TEST tests C8_SQRT.
#
#  Licensing:
#
#    This code is distributed under the GNU LGPL license. 
#
#  Modified:
#
#    10 February 2015
#
#  Author:
#
#    John Burkardt
#
  import platform
  from c8_uniform_01 import c8_uniform_01

  print ( '' )
  print ( 'C8_SQRT_TEST' )
  print ( '  Python version: %s' % ( platform.python_version ( ) ) )
  print ( '  C8_SQRT computes the square root of a C8.' )
  print ( '' )
  print ( '       C1=C8_UNIFORM_01          C2=C8_SQRT(C1)             C3=C2*C2' )
  print ( '     ---------------------     ---------------------     ---------------------' )
  print ( '' )

  seed = 123456789

  for i in range ( 0, 10 ):
    c1, seed = c8_uniform_01 ( seed )
    c2 = c8_sqrt ( c1 )
    c3 = c2 * c2;
    print ( '  (%12f,%12f)  (%12f,%12f)  (%12f,%12f)' \
      % ( c1.real, c1.imag, c2.real, c2.imag, c3.real, c3.imag ) )
#
#  Terminate.
#
  print ( '' )
  print ( 'C8_SQRT_TEST:' )
  print ( '  Normal end of execution.' )
  return

if ( __name__ == '__main__' ):
  from timestamp import timestamp
  timestamp ( )
  c8_sqrt_test ( )
  timestamp ( )