Modern Math CCosh

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CCosh

Returns the hyperbolic cosine of a complex number.

Syntax

CCosh( byref z as Complex ) as Complex

Notes

• cosh(re)·cos(im) + i·sinh(re)·sin(im), written out directly — see CSinh for why it is not routed through CCos.
• Even: CCosh( -z ) is CCosh( z ).
• Spelled with the C prefix because, when this library was a header in namespace FB, a function of the unprefixed name shadowed the intrinsic for every later header — measured, it broke what is now random.tiko — after which the intrinsic could not be called back. The name stayed when the header became std/numeric.

Examples

#import "std/numeric"
using numeric

dim as Complex z = CSet( 3, 4 )

print CToString( CCosh( CZero( ) ) )  '' 1+0i   -- exactly one
print CToString( CCosh( z ) )         '' -6.580663040551157-7.581552742746545i
print CToString( CCosh( -z ) )        '' -6.580663040551157-7.581552742746545i   -- even

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Library: Math Library
Category: Math Library
Documented under: Members