53 lines
2.0 KiB
Factor
53 lines
2.0 KiB
Factor
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!:folding=indent:collapseFolds=0:
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! $Id$
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!
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! Copyright (C) 2004 Slava Pestov.
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions are met:
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!
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! 1. Redistributions of source code must retain the above copyright notice,
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! this list of conditions and the following disclaimer.
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!
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! 2. Redistributions in binary form must reproduce the above copyright notice,
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! this list of conditions and the following disclaimer in the documentation
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! and/or other materials provided with the distribution.
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!
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! THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES,
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! INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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! FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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! DEVELOPERS AND CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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! OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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! WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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! OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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! ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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IN: math
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USE: arithmetic
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USE: combinators
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USE: real-math
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USE: stack
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!!! Inverse trigonometric functions:
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!!! acos asec asin acosec atan acot
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!!! Inverse hyperbolic functions:
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!!! acosh asech asinh acosech atanh acoth
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: acosh dup sq pred sqrt + log ;
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: asech recip acosh ;
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: asinh dup sq succ sqrt + log ;
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: acosech recip asinh ;
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: atanh dup succ swap pred neg / log 2 / ;
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: acoth recip atanh ;
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: <=1 ( x -- ? ) dup complex? [ drop f ] [ abs 1 <= ] ifte ;
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: asin dup <=1 [ fasin ] [ i * asinh -i * ] ifte ;
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: acos dup <=1 [ facos ] [ asin pi/2 swap - ] ifte ;
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: atan dup <=1 [ fatan ] [ i * atanh i * ] ifte ;
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: asec recip acos ;
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: acosec recip asin ;
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: acot recip atan ;
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