#! /usr/bin/env python # def c8_cos ( c ): #*****************************************************************************80 # ## C8_COS evaluates the cosine of a C8. # # Discussion: # # Here we use the relationship: # # C8_COS ( C ) = ( C8_EXP ( i * C ) + C8_EXP ( - i * C ) ) / 2 # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 11 February 2015 # # Author: # # John Burkardt # # Parameters: # # Input, complex C, the argument. # # Output, complex VALUE, the function value. # from c8_exp import c8_exp value = ( c8_exp ( 1j * c ) + c8_exp ( - 1j * c ) ) / 2.0 return value def c8_cos_test ( ): #*****************************************************************************80 # ## C8_COS_TEST tests C8_COS. # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 11 February 2015 # # Author: # # John Burkardt # import numpy as np import platform from c8_acos import c8_acos from c8_uniform_01 import c8_uniform_01 print ( '' ) print ( 'C8_COS_TEST' ) print ( ' Python version: %s' % ( platform.python_version ( ) ) ) print ( ' C8_COS computes the cosine of a C8.' ) print ( '' ) print ( ' C1=C8_UNIFORM_01 C2=C8_COS(C1) C3=C8_ACOS(C2)' ) print ( ' --------------------- --------------------- ---------------------' ) print ( '' ) seed = 123456789 for i in range ( 0, 10 ): c1, seed = c8_uniform_01 ( seed ) c2 = c8_cos ( c1 ) c3 = c8_acos ( c2 ); print ( ' (%12f,%12f) (%12f,%12f) (%12f,%12f)' \ % ( c1.real, c1.imag, c2.real, c2.imag, c3.real, c3.imag ) ) # # Terminate. # print ( '' ) print ( 'C8_COS_TEST:' ) print ( ' Normal end of execution.' ) return if ( __name__ == '__main__' ): from timestamp import timestamp timestamp ( ) c8_cos_test ( ) timestamp ( )