def c8_tanh ( c ): #*****************************************************************************80 # ## C8_TANH evaluates the hyperbolic tangent of a C8. # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 12 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 ( c ) - c8_exp ( - c ) ) / ( c8_exp ( c ) + c8_exp ( - c ) ) return value
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_cosh ( c ): #*****************************************************************************80 # ## C8_COSH evaluates the hyperbolic cosine of a C8. # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 12 February 2015 # # Author: # # John Burkardt # # Parameters: # # Input, complex C, the argument. # # Output, complex, the function value. # from c8_exp import c8_exp value = ( c8_exp ( c ) + c8_exp ( -c ) ) / 2.0 return value
def c8_sin ( c ): #*****************************************************************************80 # ## C8_SIN evaluates the sine of a C8. # # Discussion: # # Here we use the relationship: # # C8_SIN ( C ) = -i ( C8_EXP ( i * C ) - C8_EXP ( - i * C ) ) / 2 # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 12 February 2015 # # Author: # # John Burkardt # # Parameters: # # Input, complex C, the argument. # # Output, complex VALUE, the function value. # from c8_exp import c8_exp value = - 1j * ( c8_exp ( 1j * c ) - c8_exp ( - 1j * c ) ) / 2.0 return value
def c8_sinh ( c ): #*****************************************************************************80 # ## C8_SINH evaluates the hyperbolic sine of a C8. # # Discussion: # # Here we use the relationship: # # C8_SINH ( C ) = ( C8_EXP ( C ) - C8_EXP ( - C ) ) / 2 # # Licensing: # # This code is distributed under the GNU LGPL license. # # Modified: # # 12 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 ( c ) - c8_exp ( - c ) ) / 2.0 return value
def c8_tan ( c ):
#*****************************************************************************80
#
## C8_TAN evaluates the tangent of a C8.
#
# Discussion:
#
# We use the relationship:
#
# C8_TAN ( C ) = - i * ( C8_EXP ( i * C ) - C8_EXP ( - i * C ) )
# / ( C8_EXP ( I * C ) + C8_EXP ( - i * C ) )
#
# Licensing:
#
# This code is distributed under the GNU LGPL license.
#
# Modified:
#
# 12 February 2015
#
# Author:
#
# John Burkardt
#
# Parameters:
#
# Input, complex C, the argument.
#
# Output, complex VALUE, the function value.
#
from c8_exp import c8_exp
value = - 1j * ( c8_exp ( 1j * c ) - c8_exp ( - 1j * c ) ) \
/ ( c8_exp ( 1j * c ) + c8_exp ( - 1j * c ) )
return value
def c8_log_test ( ):
#*****************************************************************************80
#
## C8_LOG_TEST tests C8_LOG.
#
# Licensing:
#
# This code is distributed under the GNU LGPL license.
#
# Modified:
#
# 11 February 2015
#
# Author:
#
# John Burkardt
#
import numpy as np
from c8_exp import c8_exp
from c8_uniform_01 import c8_uniform_01
print ''
print 'C8_LOG_TEST'
print ' C8_LOG computes the logarithm of a C8.'
print ''
print ' C1=C8_UNIFORM_01 C2=C8_LOG(C1) C3=C8_EXP(C2)'
print ' --------------------- --------------------- ---------------------'
print ''
seed = 123456789
for i in range ( 0, 10 ):
c1, seed = c8_uniform_01 ( seed )
c2 = c8_log ( c1 )
c3 = c8_exp ( c2 );
print ' (%12f,%12f) (%12f,%12f) (%12f,%12f)' \
% ( c1.real, c1.imag, c2.real, c2.imag, c3.real, c3.imag )
print ''
print 'C8_LOG_TEST:'
print ' Normal end of execution.'
return