factor/library/math/trig-hyp.factor

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! :folding=indent:collapseFolds=0:
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! $Id$
!
! Copyright (C) 2004 Slava Pestov.
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions are met:
!
! 1. Redistributions of source code must retain the above copyright notice,
! this list of conditions and the following disclaimer.
!
! 2. Redistributions in binary form must reproduce the above copyright notice,
! this list of conditions and the following disclaimer in the documentation
! and/or other materials provided with the distribution.
!
! THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES,
! INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
! FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
! DEVELOPERS AND CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
! OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
! WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
! OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
! ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
IN: math
USE: kernel
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USE: math
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USE: math-internals
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! Trigonometric functions:
! cos sec sin cosec tan cot
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! Hyperbolic functions:
! cosh sech sinh cosech tanh coth
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: cos ( z -- cos )
>rect 2dup
fcosh swap fcos * -rot
fsinh swap fsin neg * rect> ;
: sec cos recip ;
: cosh ( z -- cosh )
>rect 2dup
fcos swap fcosh * -rot
fsin swap fsinh * rect> ;
: sech cosh recip ;
: sin ( z -- sin )
>rect 2dup
fcosh swap fsin * -rot
fsinh swap fcos * rect> ;
: cosec sin recip ;
: sinh ( z -- sinh )
>rect 2dup
fcos swap fsinh * -rot
fsin swap fcosh * rect> ;
: cosech sinh recip ;
: tan dup sin swap cos / ;
: tanh dup sinh swap cosh / ;
: cot dup cos swap sin / ;
: coth dup cosh swap sinh / ;